Solution: Find the Smallest Divisor Given a Threshold
Understand how to apply modified binary search to determine the smallest divisor such that the sum of ceiling divisions of array elements stays within a threshold. This lesson guides you through the problem setup, binary search method, and optimizing the solution effectively.
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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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