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
def gcd(a, b):
    while b: 
    	a, b = b, a % b
    return a
 
while True:
    try:
        line = input()
    except:
        break
    a, b = map(int, line.strip().split())
    g = gcd(a, b)
    print(g, a * b // g)