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):
    S=[a,b]
    S.sort(reverse=True)
    while S[1]>0:
        S2=[S[1],S[0]%S[1]]
        S=S2
    return S[0]
    
try:
    while True:
        a,b=[int(i) for i in input().split(" ")]
        G=GCD(a,b)
        L=int(a*b/G)
        print("%d %d"%(G,L))
except EOFError:
    pass

