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(li):
    a=max(li)
    b=min(li)
    while b>0:
        a,b=b,a%b
    return a

def lcm(li):
    return li[0]*li[1]/gcd(li)

while True:
    try:
        li=[int(i) for i in input().split(" ")]
        print("%i %i"%(gcd(li),lcm(li)))
    except:break