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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;

namespace StringsLength
{
    class Program
    {
        static void Main(string[] args)
        {
            var inputNumbers = Console.ReadLine().Split();
            int firstNumber = int.Parse(inputNumbers[0]);
            int secondNumber = int.Parse(inputNumbers[1]);
                       
            long printOutput = highestD(firstNumber, secondNumber);

            Console.WriteLine(printOutput);
        }

        static long highestD(int firstNumber, int secondNumber)
        {
            long i = 0;
            bool isCounting = true;
            while (isCounting)
            {
                i++;                
                if(i % firstNumber == 0)
                {
                    if(i % secondNumber == 0)
                    {
                        isCounting = false;
                        break;
                    }                    
                }
            }
            return i;  
        }

    }
}