题目大意 求 $\sum_{i = 1}^{n} \sum_{j = 1}^{m} \mu(\lcm(i, j))$ . $ 1 \le n, m \le 10^6 $ . 分析 不妨设 $ n \le m$ . $ \mu(\lcm(i, j)) = \mu(i) \mu(j) \mu(\gcd(i, j)) $ 令 $S = \sum_{i = 1}^{n} \sum_{j = 1}^{m} \mu(\lcm(i, j))$ \begin{aligned} S &= \sum_{i = 1}…