Problem:
Greatest Common Divisor

Write a program which finds the greatest common divisor of two natural numbers a and b

Input

a and b are given in a line sparated by a single space.

Output

Output the greatest common divisor of a and b.

Constrants

1 ≤ a, b ≤ 109

Hint

You can use the following observation:

For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)

Sample Input 1

54 20

Sample Output 1

2

Sample Input 2

147 105

Sample Output 2

21

Solution in JAVA (judge verdict: Accepted)

import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        int x, y;
        Scanner sc = new Scanner(System.in);

        x = sc.nextInt();
        y = sc.nextInt();

        while (x % y != 0) {
            x%=y;
            int tmp = y;
            y = x;
            x = tmp;
        }
        System.out.println(y);
    }
}