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
def kouyakusuu(a,b):
  A = max(a,b)
  B = min(a,b)
  d = A % B
  if d == 0:
    return B
  else:
    return kouyakusuu(B,d)
for line in sys.stdin.readlines():
  a,b = map(int,line.split())
  m = kouyakusuu(a,b)
  n = a*b//m
  print(m,n)