Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Output

For each data set, print GCD and LCM separated by a single space in a line.

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
while 1:
    try:
        x,y=[int(i) for i in input().split()]
        a=x
        b=y

        while 1:
            c=x%y
            if x%y==0:
                print(y,a*b//y)
                break
            else:
                x=y
                y=c
    except EOFError:
        break