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 gcd(m, n):
  if n > m:
    m, n = n, m
  if n == 0:
    return m
  else:
    return gcd(n, m % n)


for line in sys.stdin:
  try:
    a, b = [int(i) for i in line.split()]
    g = gcd(a, b)
    l = a * b / g
    print("%d %d" % (g, l))
  except:
    break