Find 939 distinct positive integers such that for every seven of them, their product is divisible by their sum. Source: Murray Klamkin, in Crux Mathematicorum May 2001 © Copyright 2001 Stan Wagon. Reproduced with permission.

Find 939 distinct positive integers such that for every seven of them, their product is divisible by their sum.

Source: Murray Klamkin, in Crux Mathematicorum May 2001