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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

uses crt,math;
var a,b:longint;
    i,j:qword;
begin
        clrscr;
        readln(a,b);
        i:=a;
        j:=b;
        while (true) do begin
                if (a=0) or (b=0) then break;
                if (a>b)  then a := a mod b else
                        if (b>a) then b := b mod a else break;
        end;
        write((i*j)div max(a,b));
        readln
end.