4-3-1 求和--1/n-println换行是对后一个输出起作用--减一个1/(n-1)加一个1/n

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求和


有明确次数范围,用for循环


用i += 1

算1/n 加起来


自己写的:

import java.util.Scanner;public class Main {   public static void main(String[] args) {         Scanner in = new Scanner(System.in);      int n = in.nextInt();   int i;   int sum = 0;   for ( i = 1; i <= n; i += 1)   {   sum += (1/i);   }      System.out.println(sum);            }}

输入3输出1


错:

1.总和是浮点数(double)

   double sum = 0.0;

2.除法要浮点数

<pre name="code" class="java">   sum += 1.0/i;


改良:

3.i可以在for定义

   for (int i = 1;i <= n; i += 1)

4.不用括号也可以

   sum += 1.0/i;

5.i++

   for (int i = 1;i <= n; i ++)



修改后

import java.util.Scanner;public class Main {   public static void main(String[] args) {         Scanner in = new Scanner(System.in);      int n = in.nextInt();   double sum = 0.0;      for (int i = 1;i <= n; i ++)   {<pre name="code" class="java">   sum += 1.0/i;
} System.out.println(sum); }}



改善:保留小数点2位

   System.out.printf( "%.2f",sum);


最终,两个都看一下

import java.util.Scanner;public class Main {   public static void main(String[] args) {         Scanner in = new Scanner(System.in);      int n = in.nextInt();   double sum = 0.0;      for (int i = 1;i <= n; i ++)   {   sum += 1.0/i;   }   <p class="p1"><span></span>   System.<span class="s1">out</span>.println(<span class="s2">sum</span>);</p><p class="p1"><span></span>   System.<span class="s1">out</span>.printf( <span class="s3">"%.2f"</span>,<span class="s2">sum</span>);</p>            }}

输入100

输出

5.187377517639621

5.19



   System.out.printf( "%.2f",sum);   System.out.println(sum);


测试后新发现:

   System.out.print(sum);   System.out.printf( "%.2f",sum);   System.out.println(sum);   System.out.print(sum);


这样,输出的后一个不会换行

输入100

输出

5.1873775176396215.195.187377517639621

5.187377517639621


   System.out.println(sum);
println换行作用的是后一个输出


改题:如果不是求和,是-一个+一个怎么写(或者想成加一个正的,加一个负的)


自己写的(思路1):

import java.util.Scanner;public class Main {   public static void main(String[] args) {         Scanner in = new Scanner(System.in);      int n = in.nextInt();   double sum = 0.0;      for (int i = 1;i <= n; i ++)   {   if (i % 2 == 0 )   {   sum -= 1.0/i;      }   else   {   sum += 1.0/i;   }         }   System.out.println(sum);   System.out.printf( "%.2f",sum);            }}

老师后来也提到这个思路,与自己想稍有不同:

if (i % 2 == 1 )   {   sum += 1.0/i;      }   else   {   sum -= 1.0/i;   }


老师讲的(思路2)——比自己的简洁好多:

import java.util.Scanner;public class Main {   public static void main(String[] args) {         Scanner in = new Scanner(System.in);      int n = in.nextInt();   double sum = 0.0;   int sign = 1;   for (int i = 1;i <= n; i += 1)   {   sum += sign * 1.0/i;   sign = -sign;   }   System.out.println(sum);   System.out.printf( "%.2f",sum);            }}

改良——移动sign的动作:


   for (int i = 1;i <= n; i += 1,sign = -sign)   {   sum += sign * 1.0/i;      }

留意:

1.中间用逗号

2.删掉分号


循环体和第三部分可以互换





















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