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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <map>
#include <set>
#include <vector>
#include <algorithm>
#include <string>
#include <math.h>
#include <iomanip>

using namespace std;

int gcd(int n, int m)
{
  if (n%m == 0) return m;
  else return (gcd(m, n%m));
}

long long lcm(int n, int m)
{
  return ((long long)n * m / gcd(n, m));
}

int main()
{
  int A, B;
  cin >> A >> B;

  if (A < B)
  {
    int C = B;
    B = A;
    A = C;
  }

  cout << lcm(A, B) << endl;
}