Problem:
Score : 300 points

Problem Statement

Takahashi is organizing a party.

At the party, each guest will receive one or more snack pieces.

Takahashi predicts that the number of guests at this party will be A or B.

Find the minimum number of pieces that can be evenly distributed to the guests in both of the cases predicted.

We assume that a piece cannot be divided and distributed to multiple guests.

Constraints

1 \leq A, B \leq 10^5

A \neq B

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B

Output

Print the minimum number of pieces that can be evenly distributed to the guests in both of the cases with A guests and B guests.

Sample Input 1

2 3

Sample Output 1

6

When we have six snack pieces, each guest can take three pieces if we have two guests, and each guest can take two if we have three guests.

Sample Input 2

123 456

Sample Output 2

18696

Sample Input 3

100000 99999

Sample Output 3

9999900000

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Text;
using System.Numerics;
using System.IO;

namespace SolutionCS
{
    class Program
    {
        static long gcd(long a, long b)
        {
            if (a < b)
            {
                return gcd(b, a);
            }

            while (b != 0)
            {
                long rem = a % b;
                a = b;
                b = rem;
            }

            return a;
        }

        static long lcm(long a, long b)
        {
            return a / gcd(a, b) * b;
        }

        static void Main(string[] args)
        {
            string[] s = Console.ReadLine().Split(' ');
            long A = long.Parse(s[0]);
            long B = long.Parse(s[1]);

            Console.WriteLine(lcm(A, B));
        }
    }
}