题目描述:
If a machine can save only 3 significant digits, the float numbers 12300 and 12358.9 are considered equal since they are both saved as 0.123×105 with simple chopping. Now given the number of significant digits on a machine and two float numbers, you are supposed to tell if they are treated equal in that machine.
输入格式:
Each input file contains one test case which gives three numbers N, A and B, where N (<100) is the number of significant digits, and A and B are the two float numbers to be compared. Each float number is non-negative, no greater than 10100, and that its total digit number is less than 100.
Output Specification:
输出格式
For each test case, print in a line YES if the two numbers are treated equal, and then the number in the standard form 0.d[1]…d[N]10^k (d[1]>0 unless the number is 0); or NO if they are not treated equal, and then the two numbers in their standard form. All the terms must be separated by a space, with no extra space at the end of a line.
Note: Simple chopping is assumed without rounding.
输入样例 1
3 12300 12358.9
输出样例 1
YES 0.12310^5
这道题的意思就是:
给出两个数,问:将他们写成保留N位小数的科学计数法后是否相等。如果相等,则输出YES,并且给出转换结果;如果不相等,则输出NO,并分别给出两个数的转换结果。
#include<iostream>
#include<string>
int n; //有效的位数
string deal(string s, int& e){
int k = 0;
while(s.length() > 0 && s[0] == '0'){
s.erase(s.begin());
}
if(s[0] == '.'){
s.erase(s.begin());
while(s.length() > 0 && s[0] == '0'){
s.erase(s.begin());
e--; //每去掉一个0,指数e减1
}
}else{ //去掉前导零后不是小数点,则找到后面的小鼠嗲删除
while(k < s.length() && s[k] != '.'){//寻找小数点
k++;
e++; //只要不喷到小数点就让指数e++
}
if(k < s.length()){
s.erase(s.begin() + k) //把小数点删除
}
}
if(s.length() == 0){
e = 0; 如果去除前导零后s的长度变为0,说明这个是0
}
int num = 0;
k = 0;
string res;
while(num < n){
if(k < s.length()) res += s[k++]; //只要还有数字,就加到res末尾
else res += '0';
num++;
}
return res;
}
int main(){
string s1,s2,s3,s4;
cin >> n >> s1 >> s2;
int e1 = 0,e2 = 0; //e1,e2为s1与s2的指数
s3 = deal(s1, e1);
s4 = deal(s2, e2);
if(s3 == s4 && e1 == e2){ //主体相同且指数相同则YES
cout<<"YES 0."<<s3<<"*10"<<e1<<endl;
}
else{
cout<<"NO 0."<<s3<<"*10"<<e1<<" 0."<<s4<<"*10"<<e2<<endl;
}
return 0;
}