Bit Manipulation - Number of 1 Bits
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2023-12-01
Write a function that takes an unsigned integer and returns the number of ’1’ bits it has (also known as the Hamming weight).
For example, the 32-bit integer11
has binary representation00000000000000000000000000001011
, so the function should return 3.
题目翻译:
给出一个整数,求它包含二进制1的位数。例如,32位整数11
的二进制表达形式是00000000000000000000000000001011
,那么函数应该返回3。
题目分析:
设输入的数为n,把n与1做二进制的与(AND)运算,即可判断它的最低位是否为1。如果是的话,把计数变量加一。然后把n向右移动一位,重复上述操作。当n变为0时,终止算法,输出结果。
时间复杂度:O(n)
空间复杂度:O(1)
代码如下:
class Solution {
public:
int hammingWeight(uint32_t n) {
int count = 0;
while (n > 0) {
count += n & 1;
n >>= 1;
}
return count;
}
};