952. Largest Component Size by Common Factor LeetCode Solution

Minimum Cost to Merge Stones
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Largest Component Size by Common Factor You are given an integer array of unique positive integers nums. Consider the following graph:

  • There are nums.length nodes, labeled nums[0] to nums[nums.length - 1],
  • There is an undirected edge between nums[i] and nums[j] if nums[i] and nums[j] share a common factor greater than 1.

Return the size of the largest connected component in the graph.

Example 1:

Input: nums = [4,6,15,35]
Output: 4

Example 2:

Input: nums = [20,50,9,63]
Output: 2

Example 3:

Input: nums = [2,3,6,7,4,12,21,39]
Output: 8

Constraints:

  • 1 <= nums.length <= 2 * 104
  • 1 <= nums[i] <= 105
  • All the values of nums are unique.

Largest Component Size by Common Factor Solutions

Time: O(n)
Space: O(n)

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