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 Python (3.4.3) (judge verdict: Accepted)

A, B = map(int, input().split())
def gcd(a,b):
    x = max(a, b)
    y = min(a, b)
    if x%y == 0:
        return y
    else:
        while x%y !=0:
            z =x%y
            x =y
            y =z
        else:
            return z

def lcm(a, b):
    return int((a * b) // gcd(a, b))

ans = lcm(A, B)
print(ans)