test</script>

soha

2019-02-11 13:30:58

Solution

$$ 123 45678 $$ $$ \begin{aligned} F(n)&=\sum_{i=1}^n \operatorname{lcm}(i,b)\\ &=b\sum_{i=1}^n \dfrac{i}{\gcd(i,b)}\\ &=b\sum_{d\mid b}\sum_{i=1}^{n/d} i[\gcd(i,\dfrac{b}{d})=1]\\ &=b\sum_{d\mid b}\sum_{k\mid\frac{b}{d}}\mu(k)k\sum_{i=1}^{n/dk} i\\ &=b\sum_{T\mid b}\sum_{k\mid T}\mu(k)k\sum_{i=1}^{n/T}i \end{aligned} $$ $$ 12345678 $$ $$12345678$$ # h1 1 $\LaTeX$ ## h2 1 ### h3 1 ## h2 2 ### h3 2 ## h2 3 ## h2 4 ### h3 3 # h1 2 # h1 3 ## h2 5 # h1 4 ### h3 4 # h1 5 ## h2 6 ### h3 5 ## h2 7 # h1 6 ### h3 6 ## h2 8 ## h2 9 ### h3 7 ### h3 8 ### h3 9 ### h3 a ### h3 b ### h3 c ## h2 a ## h2 b ## h2 c ### h3 d ### h3 e ## h2 d ### h3 f ```php $test=233; var_dump($test); ``` ```cpp #define mian main #define bao int #define hao int #define dailai scanf #define daizou printf #define gaoci return 0 #include<stdio.h> bao mian(){ hao chi; hao wan; dailai("%d %d",&chi,&wan); hao huai=chi+wan; daizou("%d",huai); gaoci; } ``` ```python import flask app = flask.Flask("SAM Drawer") @app.route("/") def home()->str: return "qwq" def main()->None: app.run(port=8080) if __name__ == "__main__": main() ``` <$> <$> ``` <$> hjggjhg$nbkjj ``` $(a+b)$ > 引用一些东西 > 引用一些东西 > 引用一些东西 > 引用一些东西 > 引用一些东西 > 引用一些东西 > 引用一些东西 ![](bilibili:820807)