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
import sys

def gcd(a,b):
    if a%b == 0:
        return b
    else:
        return gcd(b, a%b)

for line in sys.stdin:
    a,b = map(int, line.split())
    if a<b:
        tem = a
        a = b
        b = tem
    gc = gcd(a,b)
    print(gc, a*b//gc)