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
import sys
list = sys.stdin.readlines()

e=0
GCD = 0
def Euclide(a, b):
    if b == 0:
        return a
    if a < b:
        tmp = a
        a = b
        b = tmp
    e = a%b
    return Euclide(b, e)

for i in list:
    i = i.split(' ')
    GCD = Euclide(int(i[0]), int(i[1]))
    print(str(GCD)+" "+str(int(int(i[0])/GCD*int(i[1]))))