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)

def gcd(m,n):
  x = max(m,n)
  y = min(m,n)
 
  while x % y != 0:
    z = y
    y = x % y
    x = z
  return y
 
def lcm(m,n):
  return int(m * n / gcd(m,n))
 
inputNum = list(map(int, input().split()))
a = inputNum[0]
b = inputNum[1]
 
print(lcm(a,b))