# 1950. Least Common Multiple

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.

### 输入格式

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.

### 输出格式

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

### 样例

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

Output
105
10296


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