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  • u Calculate e

    u Calculate e

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 39381    Accepted Submission(s): 17893


    Problem Description
    A simple mathematical formula for e is



    where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.
     
    Output
    Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.
     
    Sample Output
    n e - ----------- 0 1 1 2 2 2.5 3 2.666666667 4 2.708333333

    #include<iostream>
    #include<iomanip>
    using namespace std;

    int main()
    {
    cout<<"n "<<"e"<<endl;
    cout<<"- -----------"<<endl;
    double e[10]={0};
    e[0]=1;
    cout<<0<<" "<<fixed<<setprecision(0)<<e[0]<<endl;
    for(int i=1;i<10;i++)
    {
    double temp=1.0*i;
    for(int j=i-1;j>0;j--)
    {
    temp*=j;
    }
    e[i]=e[i-1]+1/temp;
    if(i==1)
    {
    cout<<i<<" "<<fixed<<setprecision(0)<<e[i]<<endl;
    }
    else if(i==2)
    {
    cout<<i<<" "<<fixed<<setprecision(1)<<e[i]<<endl;
    }
    else
    {
    cout<<i<<" "<<fixed<<setprecision(9)<<e[i]<<endl;
    }
    }
    return 0;
    }

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  • 原文地址:https://www.cnblogs.com/honeybusybee/p/5221957.html
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