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(u, v):
    if (v == 0): return u
    return gcd(v, u % v)

def lcm(u, v):
    return (u * v) // gcd(u, v)

while 1:
    try:
        inp = input()
    except EOFError:
        break
    else:
        u, v = inp.split(' ')
        u = int(u)
        v = int(v)
        print(gcd(u, v), lcm(u, v))