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 lcm(a,b):
  return a//gcd(a,b)*b
def gcd(a,b):
  while b != 0:
    r=a%b
    a=b
    b=r
  return a
while True:
  try:
    a=list(map(int,input().split()))
    print(gcd(a[0],a[1]),lcm(a[0],a[1]))
  except EOFError:
    break
