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.Linq;

namespace ABC148C
{
    class Program
    {
        static void Main(string[] args)
        {
            var AB = Console.ReadLine().Split().Select(x => int.Parse(x)).ToArray();
            var A = AB[0];
            var B = AB[1];

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

        static long Gcd(long m, long n)
        {
            long tmp;
            while (m % n != 0)
            {
                tmp = n;
                n = m % n;
                m = tmp;
            }
            return n;
        }

        static long Lcm(long m, long n)
        {
            return m * n / Gcd(m, n);
        }
    }
}