Solution: Find the Smallest Divisor Given a Threshold
Explore how to apply modified binary search to identify the smallest positive divisor such that the sum of ceiling-divided elements of an array remains below a given threshold. Understand the monotonic relationship between divisor size and sum, and learn to implement an efficient solution with O(n log m) time complexity.
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Statement
Given an integer array nums and an integer threshold, choose a positive integer divisor such that when every element in nums is divided by divisor (with each result rounded up to the nearest integer), the total sum of the divided values is less than or equal to threshold. Return the smallest such divisor.
Note: Each division result is rounded up to the nearest integer (ceiling division). For example:
and . It is guaranteed that a valid answer always exists.
Constraints:
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