# 1283. Find the Smallest Divisor Given a Threshold

找一个能让数组内每个元素对它倍数（余数不为0时往上取整）的和小于等于threshold的最小整数。答案的取值范围为\[1, max(nums)]，二分范围，当倍数和大于threshold时说明当前取的太小，start + 1。

```cpp
class Solution {
public:
    int smallestDivisor(vector<int>& nums, int threshold) {
        const auto cal = [&](int t) {
            int r = 0;
            for (const auto num : nums) {
                r += num / t + (num % t == 0 ? 0 : 1);
            }
            return r;
        };
        int start = 1, end = 1;
        for (int i = 0; i < nums.size(); ++i) {
            end = max(end, nums[i]);
        }
        while (start < end) {
            int mid = start + (end - start) / 2;
            if (cal(mid) > threshold) {
                start = mid + 1;
            } else {
                end = mid;
            }
        }
        return start;
    }
};
```
