Maximal sets of numbers not containing pairwise coprimes and having divisors from a specified set of primes

We find the formula for the cardinality of a maximal set of integers from { 1 , … , n } which does not contain k + 1 pairwise coprimes and each integer has a divisor from a specified set of r primes. We also find the explicit formula for this set when r = k + 1 .