Skip to content

Latest commit

 

History

History

largest_divisible_subset

Folders and files

NameName
Last commit message
Last commit date

parent directory

..
 
 
 
 
 
 
 
 

Problem

Given a set of distinct positive integers, find the largest subset such that every pair (Si, Sj) of elements in this subset satisfies: Si % Sj = 0 or Sj % Si = 0.

If there are multiple solutions, return any subset is fine.

Example 1:

nums: [1,2,3]

Result: [1,2] (of course, [1,3] will also be ok) Example 2:

nums: [1,2,4,8]

Result: [1,2,4,8]

Solution

  • similar to 'longest increasing subsequence'
  • if (a < b && b % a == 0) && (b < c && c % b == 0), then we have c % a == 0