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 <string.h>
#include<stdio.h>
#include <math.h>
using namespace std;

int main() {
	long long int a, b, r, x, tmp;
	cin >> a >> b;

	long long int A = a, B = b;

	x = a * b;

	/* 自然数 a > b を確認・入替 */
	if (a < b) {
		tmp = a;
		a = b;
		b = tmp;
	}

	/* ユークリッドの互除法 */
	r = a % b;
	while (r != 0) {
		a = b;
		b = r;
		r = a % b;
	}

	
	cout << x / b << endl;
	
	
	

	return 0;
}