Leetcode 201. Bitwise AND of Numbers Range

Given a range [m, n] where 0 <= m <= n <= 2147483647, return the bitwise AND of all numbers in this range, inclusive.
For example, given the range [5, 7], you should return 4.

思路:
位操作问题,如果把m和n展开二进制位表示,可以观察到,结果取决于m和n左边有多少相同的bits。
因此设法找到左边相同的位,然后再进行位移。

public int rangeBitwiseAnd1(int m, int n) {
    int ratio = 1;
    while (m != n) {
        m >>= 1;
        n >>= 1;
        ratio <<= 1;
    }
    return (m * ratio);
}

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