Maximal sets of numbers not containing k+1 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.