例子:
x×y=∑i=1x∑j=1ymin(⌊ni⌋,⌊nj⌋)[gcd(i,j)=1]x\times y=\sum\limits_{i=1}^x\sum\limits_{j=1}^y\min{\left(\left\lfloor\frac{n}{i}\right\rfloor,\left\lfloor\frac{n}{j}\right\rfloor\right)} [\gcd{(i,j)}=1]x×y=i=1∑xj=1∑ymin(⌊in⌋,⌊jn⌋)[gcd(i,j)=1]
maxS=∑T⊆S(−1)∣T∣−1minT\max{S}=\sum_{T\subseteq S}{(-1)^{|T|-1}\min{T}}maxS=∑T⊆S(−1)∣T∣−1minT