Least Common Multiple

<p> <span style="color:#333333;font-family:Arial;font-size:14px;line-height:25px;">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.</span> </p>

<p> <span style="color:#333333;font-family:Arial;font-size:14px;line-height:25px;">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.</span> </p>

<p> <span style="color:#333333;font-family:Arial;font-size:14px;line-height:25px;">For each problem instance, output a single line containing the corresponding LCM. All results will lie in the range of a 32-bit integer.</span> </p>