求:
∑i=1n∑j=1nlcm(i,j)\sum_{i=1}^n \sum_{j=1}^n \operatorname{lcm(i,j)}∑i=1n∑j=1nlcm(i,j)
最后柿子是这样的: ∑T=1nT∑i=1⌊nT⌋φ(i)i2\sum_{T=1}^{n}T\sum_{i=1}^{\lfloor\frac{n}{T}\rfloor}\varphi (i)i^2∑T=1nT∑i=1⌊Tn⌋φ(i)i2
求个阳间的推导过程/kel