【PAT】1009. Product of Polynomials (25)

題目連結：http://pat.zju.edu.cn/contests/pat-a-practise/1009

分析：簡單題。相乘時指數相加，系數相乘即可，輸出時按指數從高到低的順序。注意點：多項式相乘後指數最高可達2000。

題目描述：

This time, you are supposed to find A*B where A and B are two polynomials.

Input Specification:

Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial:K N1 aN1 N2 aN2 ... NK aNK, where K is the number of nonzero terms in the polynomial, Ni and aNi (i=1, 2, ..., K) are the exponents and coefficients, respectively. It is given that 1 <= K <= 10, 0 <= NK < ... < N2 < N1 <=1000.

Output Specification:

For each test case you should output the product of A and B in one line, with the same format as the input. Notice that there must be NO extra space at the end of each line. Please be accurate up to 1 decimal place.

Sample Input

2 1 2.4 0 3.2
2 2 1.5 1 0.5
      

Sample Output

3 3 3.6 2 6.0 1 1.6
      

參考代碼：

#include<iostream>
#include<iomanip>
#include<string.h>
using namespace std;

#define max 1000
double input1[max + 1];
double input2[max + 1];
double result[2*max + 1];

int main()
{
	memset(input1,0,sizeof(input1));
	memset(input2,0,sizeof(input2));
	memset(result,0,sizeof(result));
	int k;
	int i,j;
	int e;
	//int temp=0; //記錄最高指數
	double c;
	int count = 0; //最終輸出的多項式的項數。
	cin>>k;
	for(i=0; i<k; i++)
	{
		cin>>e>>c;
		input1[e] += c;
	}
	cin>>k;
	for(i=0; i<k; i++)
	{
		cin>>e>>c;
		input2[e] += c;
	}

	for(i=0; i<=1000; i++)
	{
		for(j=0; j<=1000; j++)
		{
			result[i+j] += input1[i]*input2[j];
		}
	}
	for(i=0; i<=2000; i++) if(result[i] != 0) count++;
	cout<<count;
	for(i=2000; i >= 0; i--)
	{
		if(result[i] != 0.0) {
			cout<<" "<<i;
			cout<<fixed<<setprecision(1);
			cout<<" "<<result[i];
		}
	}
	cout<<endl;
	return 0;
}