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 <bits/stdc++.h>

using namespace std;

#define int long long

template <typename T> T gcd(T m, T n) { return n == 0 ? m : gcd(n, m % n); }
template <typename T> T lcm(T m, T n) { return n * m / gcd(n, m); }
template <typename T> T fact(T n) { return (n == 0 ? 1 : n * fact(n - 1)); }
template <typename T> T modpow(T a, T e, T m) { return (e == (T)0 ? 1 : ((a % m) * modpow((a % m), e - 1, m)) % m); }

constexpr int MOD = 1e9 + 7;

signed main(void) {
  int a, b;
  cin >> a >> b;
  cout << lcm(a, b) << endl;
}