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.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApp6
{
    class Program
    {
        static void Main(string[] args)
        {

            string[] sas = Console.ReadLine().Split(' ');
            long a = long.Parse(sas[0]);
            long b = long.Parse(sas[1]);
            long c;
            long d;
            if (a >= b)
            {
                 c = a;
                d = b;
            }
            else
            {
                c = b;
                d = a;
            }
            long saidaikouyaku = 0;
            while (true)
            {


                if (c % d != 0)
                {
                    c = c % d;
                    if (d % c != 0)
                    {
                        d = d % c;
                    }
                    else
                    {
                        saidaikouyaku =  c;
                        break;
                    }
                }
                else
                {
                    saidaikouyaku = d;
                    break;
                }
            }
            if(saidaikouyaku == 1)
            {
                Console.WriteLine((a * b) );
            }
            else
            {
                Console.WriteLine((a * b) / saidaikouyaku);
            }
        }
    }
}