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):
    for i in range(1, a+1):
        if a % i == 0:
            t = a // i
            if b % t == 0:
                return t
for line in sys.stdin:
    a, b = sorted(map(int, line.split()))
    gcdab = gcd(a, b)
    print(gcdab, a // gcdab * b)