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
while True:
	try:
		while True:
			ints = raw_input()
			if ints != '':
				x = map(int,ints.split(' '))
				x.sort()
				a = x[1]
				b = x[0]
				while True:
					m=a%b
					if m!=0:
						a=b
						b=m
						continue
					else:
						break
				n = x[1]*x[0]/b
				print b,n
				continue
			else:
				break
	except: break