题目描述:

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:

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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:

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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.

Note:

  1. The given area won’t exceed 10,000,000 and is a positive integer
  2. The web page’s width and length you designed must be positive integers.

找到最接近的两个因数,使之乘积等于特定值。从给定的area的平方根向两边搜索。

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class Solution {
public:
vector<int> constructRectangle(int area) {
vector<int> ans(2);
int t = sqrt(area);
if (t * t == area) {
ans[0] = ans[1] = t;
return ans;
}
while (area % t != 0) {
t--;
}
ans[0] = area / t;
ans[1] = t;
return ans;
}
};