Display the sum of this series: 1+1/2+1/3....1/n.

//Program to display the sum of this series: 1+1/2+1/3....1/n.
#include<iostream.h>
#include<conio.h>
void main()
{
    clrscr();
    float a,b=0,i;
    cout<<"Enter a number: ";
    cin>>a;
    for(i=1;i<=a;i++)
    b=b+(1/i);
    cout<<"The sum of the series is: "<<b;
    getch();
}