F - 06

Description

Inhabitants of the Wonderland have decided to hold a regional programming contest. The Judging Committee has volunteered and has promised to organize the most honest contest ever. It was decided to connect computers for the contestants using a "star" topology - i.e. connect them all to a single central hub. To organize a truly honest contest, the Head of the Judging Committee has decreed to place all contestants evenly around the hub on an equal distance from it. 
To buy network cables, the Judging Committee has contacted a local network solutions provider with a request to sell for them a specified number of cables with equal lengths. The Judging Committee wants the cables to be as long as possible to sit contestants as far from each other as possible. 
The Cable Master of the company was assigned to the task. He knows the length of each cable in the stock up to a centimeter,and he can cut them with a centimeter precision being told the length of the pieces he must cut. However, this time, the length is not known and the Cable Master is completely puzzled. 
You are to help the Cable Master, by writing a program that will determine the maximal possible length of a cable piece that can be cut from the cables in the stock, to get the specified number of pieces.

Input

The first line of the input file contains two integer numb ers N and K, separated by a space. N (1 = N = 10000) is the number of cables in the stock, and K (1 = K = 10000) is the number of requested pieces. The first line is followed by N lines with one number per line, that specify the length of each cable in the stock in meters. All cables are at least 1 meter and at most 100 kilometers in length. All lengths in the input file are written with a centimeter precision, with exactly two digits after a decimal point.

Output

Write to the output file the maximal length (in meters) of the pieces that Cable Master may cut from the cables in the stock to get the requested number of pieces. The number must be written with a centimeter precision, with exactly two digits after a decimal point. 
If it is not possible to cut the requested number of pieces each one being at least one centimeter long, then the output file must contain the single number "0.00" (without quotes).

Sample Input

4 11
8.02
7.43
4.57
5.39

Sample Output

2.00

题意：
n跟绳子分成k段相同长度，长度要保证最大

分析：

用二分，但是不能随意的+1，+1会使精度损失

代码：

#include<stdio.h>
#include<iostream>
#include<algorithm>
#include<math.h>
using namespace std;
double a[100500];
int n,c,sum,i;
int main()
 {
    scanf("%d%d",&n,&c);
    for(i=0;i<n;i++)
        scanf("%lf",&a[i]);
    double l=0,r=1100000,mid;
    while(r-l>1e-10)
    {
    	mid=(r+l)/2;
    	for(i=0,sum=0;i<n;i++)
  		sum +=(int)(a[i]/mid);
    	if(sum>=c)
    		l=mid;
    	else
    		r=mid;
    }
     r=(int)(r*100)/100.0;
     printf("%.2f\n",r);
    return 0;
}

感受：
一开始我老是加一减一，导致精度损失，老是a不了，还有就是这个题好多坑。。。我过了好多遍，还有最好用c,最好用c，最好用c,重要的事情说三遍，还有c实在是太不熟了，double类型的输出好像是只能用f不能用lf,lf在printf下是未定义的，很多系统接受不了。为了确保可移植性，就坚持要用%f