Let there be a function defined as: $$$f(X, Y) = \left\lfloor \frac{\mathrm{lcm}(X, Y)}{X \cdot Y} \right\rfloor $$$

You are given an array $$$A$$$ of $$$N$$$ integers. Your task is to compute the sum of $$$f(X, Y)$$$ over all possible unordered pairs$$$(X, Y)$$$ formed from the array.

$$$\dagger$$$ An unordered pairs refers to a selection of two distinct indices $$$i, j$$$ such that $$$i \ne j$$$, and the corresponding elements are $$$X = A[i],\ Y = A[j]$$$. Note that the values $$$X, Y$$$ may be equal, but the indices must be different. Each unique set of indices should be considered only once, regardless of the order.