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
import math

a = []
for line in sys.stdin:
    a.append(line)

for n in a:
    inl=n.split()
    num1=int(inl[0])
    check=1
    list=[]
    while check<=math.sqrt(num1):
        if num1%check==0:
            list.append(check)
            list.append(num1/check)
        check+=1
    list.sort()
    list.reverse()
    num2=int(inl[1])
    for i in list:
        if num2%i==0:
            gud=i
            break
    lcm=num1*num2/gud
    print gud,lcm