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>

int Euclid(int x, int y);

int main(void)
{
    long A,B; /*input var*/
    long lcm; /*least common multiple*/
    
    scanf("%ld %ld",&A,&B);
    lcm = A*B/Euclid(A,B);
    printf("%ld \n",lcm);
    return 0;
}

int Euclid(int x, int y)
{
    if(y==0)    return x;
    else    return Euclid(y,x%y);
}