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 <climits>
#include <set>
#include <string>
#include <algorithm>
#include <vector>
#define MAX 1000000007


using namespace std;
#define ll long long
#define dbg if(0)
#define ISRANGE(val,lo,hi) ((lo<=val)&&(val<hi))


ll gcd(ll a,ll b){
    if(a%b==0)return b;
    return gcd(b,a%b);

}


int main(){
    ll ans,a,b;
    cin>>a>>b;


    cout <<(a*b/gcd(a,b))<<endl;
    return 0;

}