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Develop a Java program to find the GCD (Greatest Common Divisor) of two numbers.Input FormatTwo integers a and b separated by a space.ConstraintsThe absolute values of a and b will be less than or equal to 10^9. a and b are non-negative integers.Output FormatA single integer representing the GCD of a and b.Sample Input 012 18Sample Output 06Contest ends in an hourSubmissions: 0Max Score: 5Difficulty: EasyRate This Challenge: More Java 151import java.io.*;2import java.util.*;3​4public class Solution {5​6    public static void main(String[] args) {7        /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */8   }9}

Question

Develop a Java program to find the GCD (Greatest Common Divisor) of two numbers.Input FormatTwo integers a and b separated by a space.ConstraintsThe absolute values of a and b will be less than or equal to 10^9. a and b are non-negative integers.Output FormatA single integer representing the GCD of a and b.Sample Input 012 18Sample Output 06Contest ends in an hourSubmissions: 0Max Score: 5Difficulty: EasyRate This Challenge: More Java 151import java.io.;2import java.util.;3​4public class Solution {5​6    public static void main(String[] args) {7        /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */8   }9}

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Solution

Sure, here is a Java program that calculates the GCD of two numbers:

import java.io.*;
import java.util.*;

public class Solution {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int a = scanner.nextInt();
        int b = scanner.nextInt();
        System.out.println(gcd(a, b));
    }

    private static int gcd(int a, int b) {
        if (b == 0) {
            return a;
        } else {
            return gcd(b, a % b);
        }
    }
}

Here's how it works:

  1. The main method reads two integers a and b from the standard input using a Scanner object.

  2. It then calls the gcd method with a and b as arguments and prints the result to the standard output.

  3. The gcd method uses the Euclidean algorithm to calculate the greatest common divisor of a and b. If b is 0, it returns a as the GCD. Otherwise, it recursively calls itself with b and the remainder of a divided by b as the new arguments. This process continues until b is 0, at which point a is the GCD of the original a and b.

This problem has been solved

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