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(m, n):
    while n:
        m, n = n, m % n
    return m

while True:
    try:
        a, b = map(int, input().split())
    except:
        break
    if a < b:
        a, b = b, a
    gcd = GCD(a, b)
    lcm = (a * b) // gcd
    print(gcd, lcm)