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 (Clang 3.8.0) (judge verdict: Accepted)

#include <stdio.h>
#include <string.h>
#include <limits.h>
#include <float.h>
#include <stdlib.h>
#include <math.h>

int main(void)
{
	long int i, j, k, l, m, n;
	long int a, b;
	long int work, r, x;
	
	scanf("%ld%ld", &a, &b);
	
	if(a < b) {
		work = a;
		a = b;
		b = work;
	}
	
	r = a % b;
	x = a * b;
	
	while(r != 0) {
		a = b;
		b = r;
		r = a % b;
	}
	
	printf("%ld\n", x / b);
	
	return 0;
}