Please solve the programming task below using a self-contained code snippet in a markdown code block.

Given an array of integers nums and an integer threshold, we will choose a positive integer divisor, divide all the array by it, and sum the division's result. Find the smallest divisor such that the result mentioned above is less than or equal to threshold.
Each result of the division is rounded to the nearest integer greater than or equal to that element. (For example: 7/3 = 3 and 10/2 = 5).
The test cases are generated so that there will be an answer.
 
Please complete the following python code precisely:
```python
class Solution:
    def smallestDivisor(self, nums: List[int], threshold: int) -> int:
```