SAUDI ARABIAN MATHEMATICAL COMPETITIONS

Let $n\ge 4$ be a positive integer and there exist $n$ positive integers that are arranged on a circle such that: - The product of each pair of two non-adjacent numbers is divisible by $2015\cdot 2016$. - The product of each pair of two adjacent numbers is not divisible by $2015\cdot 2016$. Find the maximum value of $n$.