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 C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Text;

namespace LogicSummoner
{
    class Program
    {
        static void Main(string[] args)
        {
            var nums = GetNumbersInt();
            var a = nums[0];
            var b = nums[1];
            var max = Math.Max(a, b);
            var min = Math.Min(a, b);
            while (true)
            {
                var r = max % min;
                if (r == 0)
                {
                    Console.WriteLine(min);
                    break;
                }
                max = min;
                min = r;
            }
        }

        //static StreamReader Console = new StreamReader("input.txt");

        static int GetNumber()
        {
            return int.Parse(Console.ReadLine().Trim());
        }

        static double GetDounble()
        {
            return double.Parse(Console.ReadLine().Trim());
        }

        static int[] GetNumbersInt(int n = 0)
        {
            return Console.ReadLine().Trim().Split(new[] { " " }, StringSplitOptions.RemoveEmptyEntries).Select(x => int.Parse(x)).ToArray();
        }

        static long[] GetNumbersLong(int n = 0)
        {
            return Console.ReadLine().Trim().Split(new[] { " " }, StringSplitOptions.RemoveEmptyEntries).Select(x => long.Parse(x)).ToArray();
        }

        static double[] GetNumbersDouble(int n = 0)
        {
            return Console.ReadLine().Trim().Split(new[] { " " }, StringSplitOptions.RemoveEmptyEntries).Select(x => double.Parse(x)).ToArray();
        }

        static string[] GetStrings(int n = 0)
        {
            return Console.ReadLine().Trim().Split(new[] { " " }, StringSplitOptions.RemoveEmptyEntries).ToArray();
        }
    }
}