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

while 1:
    line = sys.stdin.readline()
    if (not line):
        break
    x, y = map(int, line.split())
    if (x > y):
        gcd = x
        t = y
    else :
        gcd = y
        t = x
    while (t > 0) :
        tmp = gcd % t
        gcd = t
        t = tmp
    lcm = x * y / gcd
    print str(gcd) + " " + str(lcm)