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: Wrong Answer)

#include <stdio.h>
#include <iostream>
#include <iomanip>
#include <vector>
#include <cstdlib>
#include <cmath>
#include <numeric>
#include <algorithm>
#include <sstream>
#include <string>
#include <map>
#include <set>
using namespace std;

#define rep(i, n) for (int i=0; i<int(n); i++)
//static const int INFTY = (1<<20);


int gcd(int a, int b) {
	if (a%b==0) return b;
	else return gcd(b, a%b);
}

int lcm(int a, int b) {
	return a / gcd(a, b) * b;
}

//ABC148_c
int main() {
	int a, b;
	cin >> a >> b;

	cout << lcm(a, b) << endl;
}