1081 Rational Sum (20分)
Given N rational numbers in the form numerator/denominator, you are supposed to calculate their sum.
Input Specification:
Each input file contains one test case. Each case starts with a positive integer N (≤100), followed in the next line N rational numbers a1/b1 a2/b2 … where all the numerators and denominators are in the range of long int. If there is a negative number, then the sign must appear in front of the numerator.
Output Specification:
For each test case, output the sum in the simplest form integer numerator/denominator where integer is the integer part of the sum, numerator < denominator, and the numerator and the denominator have no common factor. You must output only the fractional part if the integer part is 0.
Sample Input 1:
5
2/5 4/15 1/30 -2/60 8/3
Sample Output 1:
3 1/3
Sample Input 2:
2
4/3 2/3
Sample Output 2:
2
Sample Input 3:
3
1/3 -1/6 1/8
Sample Output 3:
7/24
题目大意很清楚就是要让n个分数相加,最后输出
**解题方法:**首先定义一个分数结构体(up,down),接着对分数进行化简操作(非0,正负,约分),非0时只要up为0就是0,正负时只要up为负数就是负数,约分则需要根据最大公约数考虑(gcd),然后写出分数相加函数,最后显示函数(整数,真分数,假分数);
注意点:虽然本题目只是相加,但分数乘除时由于输入数据为int型,但进行乘除时可能会溢出所以要定义为long long型;每一步进行完都要进行约分操作,防止溢出;gcd以及输出假分数时要注意abs的使用
AC代码