Given an integer array nums, return the sum of divisors of the integers in that array that have exactly four divisors.
If there is no such integer in the array, return 0.
Example 1:
Input: nums = [21,4,7] Output: 32 Explanation: 21 has 4 divisors: 1, 3, 7, 21 4 has 3 divisors: 1, 2, 4 7 has 2 divisors: 1, 7 The answer is the sum of divisors of 21 only.
Constraints:
1 <= nums.length <= 10^41 <= nums[i] <= 10^5
Solution: Math
If a number is a perfect square (e.g. 9 = 3 * 3), it will have odd number of divisors. (9: 1, 3, 9).
Time complexity: O(sum(sqrt(num_i))
Space complexity: O(1)
C++
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// Author: Huahua class Solution { public: int sumFourDivisors(vector<int>& nums) { int ans = 0; for (int n : nums) { int r = sqrt(n); if (n <= 4 || r * r == n) continue; int count = 2; int sum = 1 + n; for (int d = 2; d <= r; ++d) if (n % d == 0) { count += 2; sum += n / d + d; } if (count == 4) ans += sum; } return ans; } }; |
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