LEETCODE--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.

1. The width W should not be larger than the length L, which means L >= W.

2. 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: 4
Output: [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.

class Solution {public:    vector<int> constructRectangle(int area) {        int num = sqrt(area);        int x;        while(num > 0){            if(area % num == 0){                x = area / num;                break;            }            num--;        }        if(x > num){            int temp = num;            num = x;            x = temp;        }        vector<int> vec;        vec.push_back(num);        vec.push_back(x);        return vec;    }};

解法2：

class Solution {public:    vector<int> constructRectangle(int area) {        int a = sqrt(area);        int b = a;        while(a * b != area){            if(a * b > area)                b--;            if(a * b < area)                a++;        }        vector<int> vec;        vec.push_back(a);        vec.push_back(b);        return vec;    }};