#C2915. Compute the Greatest Common Divisor

    ID: 46284 Type: Default 1000ms 256MiB

Compute the Greatest Common Divisor

Compute the Greatest Common Divisor

Given two integers \(A\) and \(B\), compute their greatest common divisor (GCD) using the Euclidean algorithm. The GCD of two integers is the largest positive integer that divides both numbers without leaving a remainder. The classical algorithm works by repeatedly setting \(A = B\) and \(B = A \% B\) until \(B\) becomes 0. The value of \(A\) at that stage is the GCD.

Example:

Input: 15 25
Output: 5

Note: Use the input from standard input (stdin) and print the result to standard output (stdout).

inputFormat

The input consists of a single line containing two integers \(A\) and \(B\) separated by space. \(A\) and \(B\) may be large (up to 105 or more).

outputFormat

Print a single integer which is the greatest common divisor of \(A\) and \(B\).

## sample
15 25
5