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 Scala (judge verdict: Accepted)

import scala.io.StdIn.readLine
 
object Main {
  def euclid(m:Int,n:Int):Int = if(n==0) m else euclid(n,m%n)
  def main(args:Array[String]) = {
      val n = readLine.split(" ").map(_.toInt)
      println(euclid(n(0),n(1)))
  }
}