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
try:
    while True:
        x=list(sorted(map(int, input().split())))
        a=x[0]
        b=x[1]
        while b%a != 0:
            c=a
            a=b%a
            b=c
        print(a, x[0]*x[1]//a)
except EOFError:
    pass