LeetCode刷题 | 492. Construct the Rectangle

For a web developer, it is very important to know how to design a web page's size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

1. The area of the rectangular web page you designed must equal to the given target area.
2. The width W should not be larger than the length L, which means L >= W.
3. The difference between length L and width W should be as small as possible.

You need to output the length L and the width W of the web page you designed in sequence.

Example:

Input: 4Output: [2, 2]Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. But according to requirement 2, [1,4] is illegal; according to requirement 3,  [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.

Note:

1. The given area won't exceed 10,000,000 and is a positive integer

1. The web page's width and length you designed must be positive integers.水题
2. 水题

3. 题目要求求出两个数相乘等于area，要求这两个数尽可能的接近，因此我们从大到小遍历sqrt(area),找到第一个为area因数的数i，然后area/i,i就是所求

   class Solution {

   public:

       vector<int> constructRectangle(intarea) {

           vector <int> num;

           int i=sqrt(area);

          

           while(area%i!=0)) i--;

           num.push_back(area/i);num.push_back(i);return num;

          

       }

   };