Checking terms of a sequence against values in array - java

Why isn't this working? I am trying to check terms of the sequence a_j)=38^j +31 against values in the array. I am saying trying to get that if the specific term in the sequence is not divisible by any of these values in the array then print it.
public class SmallestPrime {
public static void main(String[] args) {
long m =0;
int [] b = {2,3,4,5,6,7,8};
for(int j=0;j<6;j++) {
m = (long) Math.pow(38,j) + 31;
if(m % b[j] !=0) {
System.out.println(m);
}
}
}
}

Your problem is that you are looping only once.
For example when j = 2 you only check if 1475 is divisible by b[2] which happens to be 4 and 1475 is not divisible by 4 thus printing your value.
You'll need to use a nested loop to achieve what you are trying to do.
Here is a bit of code to help out:
private static void smallestPrime() {
long m = 0;
int[] b = { 2, 3, 4, 5, 6, 7, 8 };
for (int j = 0; j <= 6; j++) {
m = (long) Math.pow(38, j) + 31;
boolean prime = true;
for (int i = 0; i <= 6; i++) {
if (m % b[i] == 0) {
prime = false;
break;
}
}
System.out.println(m + " : " + prime);
}
}

Related

Finding the smith number between given range

I will get to the point quickly. Basically smith numbers are: Composite number the sum of whose digits is the sum of the digits of its prime factors (excluding 1). (The primes are excluded since they trivially satisfy this condition). One example of a Smith number is the beast number 666=2·3·3·37, since 6+6+6=2+3+3+(3+7)=18.
what i've tried:
In a for loop first i get the sum of the current number's(i) digits
In same loop i try to get the sum of the number's prime factors digits.
I've made another method to check if current number that is going to proccessed in for loop is prime or not,if its prime it will be excluded
But my code is seems to not working can you guys help out?
public static void main(String[] args) {
smithInrange(1, 50);
}
public static void smithInrange(int start_val, int end_val) {
for (int i = start_val; i < end_val; i++) {
if(!isPrime(i)) { //since we banned prime numbers from this process i don't include them
int for_digit_sum = i, digit = 0, digit_sum = 0, for_factor_purpose = i, smith_sum = 0;
int first = 0, second = 0, last = 0;
// System.out.println("current number is" + i);
while (for_digit_sum > 0) { // in this while loop i get the sum of current number's digits
digit = for_digit_sum % 10;
digit_sum += digit;
for_digit_sum /= 10;
}
// System.out.println("digit sum is"+digit_sum);
while (for_factor_purpose % 2 == 0) { // i divide the current number to 2 until it became an odd number
first += 2;
for_factor_purpose /= 2;
}
// System.out.println("the first sum is " + first);
for (int j = 3; j < Math.sqrt(for_factor_purpose); j += 2) {
while (for_factor_purpose % j == 0) { // this while loop is for getting the digit sum of every prime
// factor that j has
int inner_digit = 0, inner_temp = j, inner_digit_sum = 0;
while (inner_temp > 0) {
inner_digit = inner_temp % 10;
second += inner_digit;
inner_temp /= 10;
}
// System.out.println("the second sum is " + second);
for_factor_purpose /= j;
}
}
int last_temp = for_factor_purpose, last_digit = 0, last_digit_sum = 0;
if (for_factor_purpose > 2) {
while (last_temp > 0) {
last_digit = last_temp % 10;
last += last_digit;
last_temp /= 10;
}
// System.out.println("last is " + last);
}
smith_sum = first + second + last;
// System.out.println("smith num is "+ smith_sum);
// System.out.println(smith_sum);
if (smith_sum == digit_sum) {
System.out.println("the num founded is" + i);
}
}
}
}
public static boolean isPrime(int i) {
int sqrt = (int) Math.sqrt(i) + 1;
for (int k = 2; k < sqrt; k++) {
if (i % k == 0) {
// number is perfectly divisible - no prime
return false;
}
}
return true;
}
the output is:
the num founded is4
the num founded is9
the num founded is22
the num founded is25
the num founded is27
the num founded is49
how ever the smith number between this range(1 and 50) are:
4, 22 and 27
edit:I_ve found the problem which is :
Math.sqrt(for_factor_purpose) it seems i should add 1 to it to eliminate square numbers. Thanks to you guys i've see sthe solution on other perspectives.
Keep coding!
Main loop for printing Smith numbers.
for (int i = 3; i < 10000; i++) {
if (isSmith(i)) {
System.out.println(i + " is a Smith number.");
}
}
The test method to determine if the supplied number is a Smith number. The list of primes is only increased if the last prime is smaller in magnitude than the number under test.
static boolean isSmith(int v) {
int sum = 0;
int save = v;
int lastPrime = primes.get(primes.size() - 1);
if (lastPrime < v) {
genPrimes(v);
}
outer:
for (int p : primes) {
while (save > 1) {
if (save % p != 0) {
continue outer;
}
sum += sumOfDigits(p);
save /= p;
}
break;
}
return sum == sumOfDigits(v) && !primes.contains(v);
}
Helper method to sum the digits of a number.
static int sumOfDigits(int i) {
return String.valueOf(i).chars().map(c -> c - '0').sum();
}
And the prime generator. It uses the list as it is created to determine if a given
number is a prime.
static List<Integer> primes = new ArrayList<>(List.of(2, 3));
static void genPrimes(int max) {
int next = primes.get(primes.size() - 1);
outer:
while (next <= max) {
next += 2;
for (int p : primes) {
if (next % p == 0) {
continue outer;
}
if (p * p > next) {
break;
}
}
primes.add(next);
}
}
}
I do not want to spoil the answer finding, but just some simpler code snippets,
making everything simpler, and more readable.
public boolean isSmith(int a) {
if (a < 2) return false;
int factor = findDivisor(a);
if (factor == a) return false;
int sum = digitSum(a);
// loop:
a /= factor;
sum -= digitSum(factor);
...
}
boolean isPrime(int a){
for(int i = 2; i*i <= a; i++) {
if (a % i == 0) {
return false;
}
}
return true;
}
int findDivisor(int a){
for(int i = 2; i*i <= a; i++) {
if (a % i == 0) {
return i;
}
}
return a;
}
int digitSum(int a) {
if (a < 10) {
return a;
}
int digit = a % 10;
int rest = a / 10;
return digit + digitSum(rest);
}
As you see integer division 23 / 10 == 2, and modulo (remainder) %: 23 % 10 == 3 can simplify things.
Instead of isPrime, finding factor(s) is more logical. In fact the best solution is not using findDivisor, but immediately find all factors
int factorsSum = 0;
int factorsCount = 0;
for(int i = 2; i*i <= a; i++) {
while (a % i == 0) {
factorsSum += digitSum(i);
a /= i;
factorsCount++;
}
}
// The remaining factor >= sqrt(original a) must be a prime.
// (It cannot contain smaller factors.)
factorsSum += digitSum(a);
factorsCount++;
Here is the code. If you need further help, please let me know. The code is pretty self explanatory and a decent bit was taken from your code but if you need me to explain it let me know.
In short, I created methods to check if a number is a smith number and then checked each int in the range.
import java.util.*;
public class MyClass {
public static void main(String args[]) {
System.out.println(smithInRange)
}
public int factor;
public boolean smithInRange(int a, int b){
for (int i=Math.min(a,b);i<=Math.max(a,b);i++) if(isSmith(i)) return true;
return false;
}
public boolean isSmith(int a){
if(a<2) return false;
if(isPrime(a)) return false;
int digits=0;
int factors=0;
String x=a+¨" ";
for(int i=0;i<x.length()-1;i++) digits+= Integer.parseInt(x.substring(i,i+1));
ArrayList<Integer> pF = new ArrayList<Integer>();
pF.add(a);
while(!aIsPrime(pF)){
int num = pF.get(pF.size-1)
pF.remove(pF.size()-1);
pF.add(factor);
pF.add(num/factor)
}
for(int i: pF){
if((factors+"").length()==1)factors+= i;
else{
String ss= i+" ";
int nums=0;
for(int j=0;j<ss.length()-1;j++){
nums+=Integer.parseInt(ss.substring(j,j+1));
}
}
}
return (factors==digits);
}
public boolean isPrime(int a){
for(int i=2;i<=(int)Math.sqrt(a),i++){
String s = (double)a/(double)i+"";
if(s.substring(s.length()-2).equals(".0")){
return false;
factor = i;
}
}
return true;
}
public boolean aIsPrime(ArrayList<int> a){
for(int i: a) if (!isPrime(a)) return false;
return true;
}
}

Program that displays every perfect number

My code runs but for one of the tests two outputs are printed when I only need one. I am unsure of how to avoid this.
This is the task:
Write an application that displays every perfect number from 2 through 1,000. A perfect number is one that equals the sum of all the numbers that divide evenly into it. For example, 6 is perfect because 1, 2, and 3 divide evenly into it and their sum is 6; however, 12 is not a perfect number because 1, 2, 3, 4, and 6 divide evenly into it, and their sum is greater than 12.
The provided template lays out the initial for loop to check each number beginning from 2 and going up to 1,000. In this for loop, the perfect() method is called, where you will submit your piece of code to test if each number follows the conditions described above.
Set result to true if it meets those conditions and use sum to add up the numbers divisible by int n in the method's parameter.
public class Perfect{
public static void main (String args[]){
final int MAX = 1000;
for(int i = 2; i <= MAX; i++)
if(perfect(i) == true)
System.out.println("The number " + i + " is perfect");
}
public static boolean perfect(int n){
int sum = 1;
int i;
boolean result = false;
for (i = 2; i < n / 2; i++) {
if (n % i == 0) {
sum += i;
}
}
if (sum == i) {
return true;
}
else {
return false;
}
}
}
My output:
The number 496 is perfect
The number 729 is perfect
Expected output:
The number 496 is perfect
It only expects the first line printed...
You need to compare sum to the original number n, not to i. And you need to add 1 to the loop condition or it will miss the last divider in even numbers
public static boolean perfect(int n){
int sum = 1;
for (int i = 2; i < (n / 2) + 1; i++) {
if (n % i == 0) {
sum += i;
}
}
return sum == n;
}
First, I don't know if you have used the correct formula. But, you should know that the first perfect number are 6, 28, 496 and 8128. 729 is not a perfect number.
Hope it helped.
public static void main(String[] args) {
int i, j, s;
System.out.println("Perfect numbers 1 to 1000: ");
for(i=1;i<=1000;i++){
s=0;
for(j=1;j<i;j++){
if(i%j==0){
s=s+j;
}
}
if(i==s){ //if i == s is perfect
System.out.println(i);
}
}
}
}
According to the question, you have to print all perfect numbers.
I have created a small snippet, try it and see.
public void printPerfect() {
for(int i=2;i<1000;i++) {
List<Integer> l =factors(i);
int sum =0;
for (Integer factor : l) {
sum+=factor;
}
if(sum==i) {
System.out.println("perfect-- " +i);
}
}
}
List<Integer> factors(int number) {
List<Integer> l = new ArrayList<Integer>();
for(int i = 1; i <= number; ++i) {
if (number % i == 0) {
if(i!=number)
l.add(i);
}
}
return l;
}
You checked sum == i instead of sum == n.
As 729 = 3^6 : 3, 243, 9, 81, 27.
public static boolean perfect(int n) {
int sum = 1;
for (int i = 2; i <= n / 2 && sum <= n; i++) {
if (n % i == 0) {
sum += i;
}
}
return sum == n;
}

How to display the two arrays as the instructions stated

I'm doing this assignment for my Java course, so the instruction is:
"Write a program that generates 100 random integers in the range 1 to 100, and stores them in an array. Then, the program should call a class method that extracts the numbers that are even multiplesof4intoanarray and returns the array. The program should then call another method that extracts the numbers that are not even multiples of 4 into a separate array and returns the array. Both arrays should then be displayed."
public class Assignment8
{
public static void main (String [] args)
{
int [] numbers = new int [100];
for (int i = 1; i < numbers.length; i++) {
numbers[i] = (int)(Math.random()*((100)+1))+1;
}
int EMO4N [] = evenMultiplesOf4(numbers);
System.out.println("The even multiples of four are: ");
for (int m = 8; m < EMO4N.length; m++) {
System.out.println(EMO4N [m] + " " );
}
int NEMO4N [] = nonEvenMultiplesOf4(numbers);
System.out.println("The numbers that are not even multiples of four are: ");
for (int k = 1; k < NEMO4N.length; k++) {
System.out.println(NEMO4N [k] + " ");
}
}
public static int [] evenMultiplesOf4(int [] numbers)
{
int EMO4 = 8;
for (int x : numbers) {
if (x % 4 == 0 & (x / 4) % 2 == 0) {
EMO4++;
}
}
int [] EMO4N = new int [EMO4];
int y = 8;
for (int m : numbers) {
if(y % 4 == 0 & (y / 4) % 2 == 0) {
EMO4N[y] = m;
y++;
}
}
return EMO4N;
}
public static int [] nonEvenMultiplesOf4( int [] numbers)
{
int NEMO4 = 1;
for (int j : numbers) {
if (j % 4 != 0 || (j / 4) % 2 != 0) {
NEMO4++;
}
}
int [] NEMO4N = new int [NEMO4];
int k = 1;
for (int n : numbers) {
if(k % 4 != 0 || (k / 4) % 2 != 0) {
NEMO4N[k] = n;
k++;
}
}
return NEMO4N;
}
}
The result displayed is​ always a combination of 0s and some other random numbers.
You have several small logic errors.
You start m and y off at 8, which doesn't make sense as they are meant to keep track of the index that you will be inserting at.
You use the expression if (x % 4 == 0 & (x / 4) % 2 == 0) to determine if the number is divisible by four, but if(x % 4 == 0) is sufficient.
In your loops:
for (int n : numbers) {
if(k % 4 != 0) {
NEMO4N[k] = n;
k++;
}
}
You are checking to see if k is divisible by four, when you should be checking n. Change it to:
for (int n : numbers) {
if(n % 4 != 0) {
NEMO4N[k] = n;
k++;
}
}
I won't provide working code as this seems to be a homework assignment.
Here is working solution - requires Java8.
public static void main(String[] args) throws IOException, ClassNotFoundException {
List c1 = generateArray(100);
Divisors divisors = getDivisors(c1, 4);
print("Even", divisors.evens);
print("Odd", divisors.odds);
}
private static void print(String what, List<Integer> items) {
StringJoiner joiner = new StringJoiner(",");
items.stream().map(String::valueOf).forEach(joiner::add);
System.out.println(what + " divisors are: " + joiner.toString());
}
private static Divisors getDivisors(List<Integer> c1, int i) {
Divisors divisors = new Divisors();
divisors.value = i;
c1.stream()
.filter(value->value>=i)// it is not dividable, so ill skip
.forEach(value -> {
int modulo = value % i;
List<Integer> arr = modulo == 0 ? divisors.evens : divisors.odds;
arr.add(value);
});
return divisors;
}
private static List<Integer> generateArray(int size) {
return IntStream.rangeClosed(1,100).limit(size).boxed().collect(Collectors.toList());
}
static class Divisors {
int value;
List<Integer> evens = new LinkedList<>();
List<Integer> odds = new LinkedList<>();
}
example output:
Even divisors are: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100
Odd divisors are: 5,6,7,9,10,11,13,14,15,17,18,19,21,22,23,25,26,27,29,30,31,33,34,35,37,38,39,41,42,43,45,46,47,49,50,51,53,54,55,57,58,59,61,62,63,65,66,67,69,70,71,73,74,75,77,78,79,81,82,83,85,86,87,89,90,91,93,94,95,97,98,99

Coin Combinations Through Brute Force

I have some code that will brute force solve the following problem:
Given a set of x coins and a target sum to reach, what is the fewest number of coins required to reach that target?
The code so far:
import java.util.ArrayList;
import java.util.Arrays;
public class coinsSum {
public static int min = Integer.MAX_VALUE;
public static int[] combination;
public static final int TARGET = 59;
public static void main(String[] args) {
long start = System.nanoTime();
int[] validCoins = new int[] {1, 2, 5, 10, 20};
Arrays.sort(validCoins);
int len = validCoins.length;
ArrayList<Integer> maxList = new ArrayList<Integer>();
for(int c : validCoins) {
maxList.add(TARGET / c);
}
int[] max = new int[len];
for(int i = 0; i < len; i++) {
max[i] = maxList.get(i).intValue();
}
permutations(new int[len], max, validCoins, 0); // bread&butter
if(min != Integer.MAX_VALUE) {
System.out.println();
System.out.println("The combination " + Arrays.toString(combination) + " uses " + min + " coins to make the target of: " + TARGET);
} else {
System.out.println("The target was not reachable using these coins");
}
System.out.println("TOOK: " + (System.nanoTime() - start) / 1000000 + "ms");
}
public static void permutations(int[] workspace, int[] choices, int[] coins, int pos) {
if(pos == workspace.length) {
int sum = 0, coinCount = 0;
System.out.println("TRYING " + Arrays.toString(workspace));
for(int a = 0; a < coins.length; a++) {
sum += workspace[a] * coins[a];
coinCount += workspace[a];
}
if(sum == TARGET) {
// System.out.println(Arrays.toString(n)); //valid combinations
if(coinCount < min) {
min = coinCount;
combination = workspace;
System.out.println(Arrays.toString(combination)+" uses " + min + " coins");
}
}
return;
}
for(int i = 0; i <= choices[pos]; i++) {
workspace[pos] = i;
permutations(workspace, choices, coins, pos + 1);
}
}
}
This solution uses recursion, is there any way to do compute combinations in java using loops?
How else can all possible combinations be iterated through?
You can sort the array of coins. Then go from right to left, keep subtracting from the target value, untill the coin is bigger from the remaining value of target. Move left in the array of coins and repeat the process.
Example:
{1, 2, 5, 10, 20}
num = 59
Try coins from right to left:
59 - 20 = 39
So far coins used [20]
39 - 20 = 19
So far coins used [20,20]
19 - 20 = -1, Can't use 20!
19 - 10 = 9
So far coins used [20,20,10]
9 - 10 = -1, Can't use 10!
9 - 5 = 4
So far coins used [20,20,10,5]
4 - 5 = -1, Can't use 5!
4 - 2 = 2
So far coins used [20,20,10,5,2]
2 - 2 = 0
So far coins used [20,20,10,5,2,2]
Total coin used 6
Here is a solution in python that uses dynamic programming to find the minimum number of coins to reach a target value.
The algorithm works as follow
dp[i][target] = minimum number of coins required required to acheive target using first i coin
dp[i][target] = min(dp[i-1][target],dp[i-1][target-coin[i]]+1)
dp[i-1][target] denotes not using the ith coin
dp[i-1][target-coin[i]] denotes making use of ith coin
Since for each coin your are checking wheather to include it or not the algorithm is enumerating through all possible combination.
Here is an space optimized version of the above algorithm
maxvalue = 10 ** 9
def minchange(coins, target):
no_of_coins = len(coins)
dp = [maxvalue for i in range(target + 1) ]
dp[0] = 0
for i in range(no_of_coins):
for j in range(coins[i], target + 1):
dp[j] = min(dp[j], dp[j - coins[i]] + 1)
return dp[target]
I found a dynamic programming approach which is definitely not optimised, but isn't too bad for target numbers up to 10000 if anyone is interested
import java.util.*;
public class coinSumMinimalistic {
public static final int TARGET = 12003;
public static int[] validCoins = {1, 3, 5, 6, 7, 10, 12};
public static void main(String[] args) {
Arrays.sort(validCoins);
sack();
}
public static void sack() {
Map<Integer, Integer> coins = new TreeMap<Integer, Integer>();
coins.put(0, 0);
int a = 0;
for(int i = 1; i <= TARGET; i++) {
if(a < validCoins.length && i == validCoins[a]) {
coins.put(i, 1);
a++;
} else coins.put(i, -1);
}
for(int x = 2; x <= TARGET; x++) {
if(x % 5000 == 0) System.out.println("AT: " + x);
ArrayList<Integer> list = new ArrayList<Integer>();
for(int i = 0; i <= x / 2; i++) {
int j = x - i;
list.add(i);
list.add(j);
}
coins.put(x, min(list, coins));
}
System.out.println("It takes " + coins.get(TARGET) + " coins to reach the target of " + TARGET);
}
public static int min(ArrayList<Integer> combos, Map<Integer, Integer> coins) {
int min = Integer.MAX_VALUE;
int total = 0;
for(int i = 0; i < combos.size() - 1; i += 2) {
int x = coins.get(combos.get(i));
int y = coins.get(combos.get(i + 1));
if(x < 0 || y < 0) continue;
else {
total = x + y;
if(total > 0 && total < min) {
min = total;
}
}
}
int t = (min == Integer.MAX_VALUE || min < 0) ? -1:min;
return t;
}
public static void print(Map<Integer, Integer> map) {
for(Map.Entry<Integer, Integer> entry : map.entrySet()) {
System.out.println("[" + entry.getKey() + ", " + entry.getValue() + "]");
}
System.out.println();
}
}

Finding factors of a given integer

I have something like this down:
int f = 120;
for(int ff = 1; ff <= f; ff++){
while (f % ff != 0){
}
Is there anything wrong with my loop to find factors? I'm really confused as to the workings of for and while statements, so chances are they are completely wrong.
After this, how would I go about assigning variables to said factors?
The following code will return a list of all factors of a given number:
public ArrayList<Integer> findFactors(int num) {
ArrayList<Integer> factors = new ArrayList<Integer>();
// Skip two if the number is odd
int incrementer = num % 2 == 0 ? 1 : 2;
for (int i = 1; i <= Math.sqrt(num); i += incrementer) {
// If there is no remainder, then the number is a factor.
if (num % i == 0) {
factors.add(i);
// Skip duplicates
if (i != num / i) {
factors.add(num / i);
}
}
}
// Sort the list of factors
Collections.sort(factors);
return factors;
}
This answer improves Sharad Dargan's answer in two ways:
Based on an idea used in this answer, you can speed up the solution by determining the value to increment by, based on whether the number is even or odd.
Add the following line of code before the for loop:
int incrementer = num % 2 == 0 ? 1 : 2;
Then change the last part of the loop to:
i += incrementer
If the number is odd, it then will skip all even numbers, rather than always incrementing by one no matter what.
Sharad stores the upper limit value in a variable and then uses that variable in the for loop:
int upperlimit = (int)(Math.sqrt(a));
...
for(int i = 1; i <= upperlimit; i+= 1)
Instead, place Math.sqrt(num) directly in the for loop and skip the upper limit variable:
for (int i = 1; i <= Math.sqrt(num); i += incrementer) {
This will allow you to skip the casting part of the code, creating cleaner code.
Some JUnit test cases you can then use:
#Test
public void test12() {
FindFactors find = new FindFactors();
int num = 12;
List<Integer> factors = Arrays.asList(1, 2, 3, 4, 6, 12);
assertEquals(factors, find.findFactors(num));
}
#Test
public void test1000000() {
FindFactors find = new FindFactors();
int num = 1000000;
List<Integer> factors = Arrays.asList(1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200,
250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 3125, 4000, 5000, 6250, 8000, 10000, 12500,
15625, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000);
assertEquals(factors, find.findFactors(num));
}
#Test
public void test1() {
FindFactors find = new FindFactors();
int num = 1;
List<Integer> factors = Arrays.asList(1);
assertEquals(factors, find.findFactors(num));
}
#Test
public void test0() {
FindFactors find = new FindFactors();
int num = 0;
List<Integer> factors = new ArrayList<Integer>();
assertEquals(factors, find.findFactors(num));
}
Here is how to get all factors of the given number.
public class Factors {
public static void main(String[] args){
int n = 420;
for(int i=2; i<=n; i++){
while(n%i==0){
System.out.println(i + "| " + n);
System.out.println(" -----");
n = n/i;
}
}
}
}
Output:
2| 420
-----
2| 210
-----
3| 105
-----
5| 35
-----
7| 7
-----
public class Solution {
public ArrayList<Integer> allFactors(int a) {
int upperlimit = (int)(Math.sqrt(a));
ArrayList<Integer> factors = new ArrayList<Integer>();
for(int i=1;i <= upperlimit; i+= 1){
if(a%i == 0){
factors.add(i);
if(i != a/i){
factors.add(a/i);
}
}
}
Collections.sort(factors);
return factors;
}
}
The above solution simply works like calculating prime factors.
The difference being for every prime factor we keep calculating the other part of the product i.e the reqd number.
In order to find the factors of a given number, you only need to check upto the square root of the given number.
For example, in order to find the factors of 6, you only need to check till 2.45 (√6). The factors of 6 will be 1 and 2, and their converse numbers, i.e. 3 and 6.
I have made a program that determines the factors of a given number and displays them. Here is the necessary code:
Scanner input = new Scanner(System.in);
System.out.print("Enter integer: ");
long num = input.nextLong();
for(long i = 1; i <= Math.sqrt(num); i++) {
if(num % i == 0) {
System.out.println(i);
if(i != num/i) {
System.out.println(num/i);
}
}
}
You just need this program to find the factors of a given number. However, if you want to take it a step further and display the factors arranged in ascending order, then the necessary code is as follows:
Scanner input = new Scanner(System.in);
System.out.print("Enter integer: ");
long num = input.nextLong();
ArrayList<Long> list1 = new ArrayList<>(), list2 = new ArrayList<>();
long currentTime = System.currentTimeMillis();
for(long i = 1; i <= Math.sqrt(num); i++) {
if(num % i == 0) {
list1.add(i);
if(i != num/i) {
list2.add(num/i);
}
}
}
int n1 = list1.size() - 1;
int n2 = list2.size() - 1;
for(int i = 0; i <= n1; i++) {
System.out.println(list1.get(i));
}
for(int i = n2; i >= 0; i--) {
System.out.println(list2.get(i));
}
What this does: This program stores the factors of the number upto the number's square root in one list (list1), and the converse of these numbers in another list (list2). It then prints the elements of both lists (as shown).
There's nothing wrong with your for loop, but a while loop is the wrong thing to be using here.
The logic of your for loop is:
Set ff to 1.
Keep going while ff <= f.
After you've done everything in the for loop, add 1 to ff.
This looks like it is exactly as you want.
The while loop isn't right, though. It will continue to do whatever code you write there for as long as ff is a factor of f, so unless you change them in the while code, you'll get an infinite loop. However, changing that to an if statement will give you what you want.
Since you're checking for factors, you don't actually need to check all possibilities up to f - only up to the square root of f. Whenever you find that ff is a factor, output both ff and f/ff as factors, unless f is a sqare number.
public static void printFactors(int number) {
if (number < 1 )
System.out.println("Invalid Value");
for (int i = 1 ; i <= number ; ++i) {
if ( number % i == 0)
System.out.println(i);
}
}
}
It looks like you are not going to do something with either f or ff in your while loop? If so, the expression f%ff != 0 is either false (and then it will go to the next in the for loop), or it is true, and it will end up in an infinite loop.
Are you sure you need the while like this?
Slightly modified solution: You can first check if variable x is divisible by variable y. If yes, we will count 1 and will repeat this process. For the loop counter, x/y is used and you should check x>0 to avoid repetition when x becomes zero but loop is not finished yet.
public class Factor {
public static void main(String[] args) {
int x = 48;
int x1 = x;
int y = 2;
int k = x / y;
int j = 0;
for (int i = 1; i < k; i++) {
if ((x % y) == 0 && x > 0)
j++;
x = x / 2;
}
System.out.println(+x1 + " is a factor of " + y + " for " + j
+ " times.");
}
}
I got all the factors just fine with this (I just modified the algorithm in the question).
int num1 = 120;
for(int num2=1;num2<=num1;num2++)
{
if (num1%num2 != 0)
System.out.println(num2);
}
import java.util.Scanner;
public class Factors
{
Scanner scn=new Scanner(System.in);
int num=scn.nextInt();
public void findFactor()
{
System.out.println("Factors are");
System.out.println("1");
for(int i=2;i<=num;i++)
{
if(num%i==0)
{
num=num/i;
System.out.println(i);
i=2;
}
}
}
public static void main(String[] args)
{
while(1==1)
{
System.out.println("Enter a Number");
Factors fct=new Factors();
fct.findFactor();
}
}
}
Utilizing Streams introduced in Java 8, the following will print the factors for a given number.
int input = 1500;
IntStream.rangeClosed(1, input)
.filter(e -> input % e == 0)
.forEach(System.out::println);
This is how you write it yourself like a boss. Needs to add if statements to handle one and two, but besides that; this method is as sexy as it gets
public static void primerize(int n){
boolean reduced = false;
while(n > 2){
if(n%2 == 0){
System.out.println(2 + "," + n/2);
n /= 2;
}
else{
int i = isPrime(n);
if(i == n && reduced == false){
System.out.println(1 + "," + n);
n /= n;
}
else if(i == n){
n/= n;
}
else{
System.out.println(i + "," + n/i);
n = i;
reduced = true;
}
}
}}
public static int isPrime(int n){
for(int i = (n/3); i > 0; i--){
if(i == 1){
return n;
}
else if(n%i == 0){
return i;
}
}
return 0;}
This code will give you the factors.
ArrayList<Integer> arr = new ArrayList<>();
int x=48;
int y=1;
while(x!=1)
{
if(x%y==0)
{
x=x/y;
arr.add(y);
if(y==1)
{
y++;
}
}
else
{
y+=1;
}
}
System.out.println(arr);
Easiest way using recursive function
public static int factorial(int n){
if(n!=1)
return n*factorial(n-1);
return 1;
}

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