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1528.   Least Common Multiple
Time Limit: 1.0 Seconds   Memory Limit: 65536K
Total Runs: 3901   Accepted Runs: 1628



The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105.


Input

Input will consist of multiple problem instances. The first line of the input will contain a single integer indicating the number of problem instances. Each instance will consist of a single line of the form m n1 n2 n3 ... nm where m is the number of integers in the set and n1 ... nm are the integers. All integers will be positive and lie within the range of a 32-bit integer.


Output

For each problem instance, output a single line containing the corresponding LCM. All results will lie in the range of a 32-bit integer.


Sample Input

2
3 5 7 15
6 4 10296 936 1287 792 1


Sample Output

105
10296


Source: East Central North America 2003 Practice
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