1 #include<iostream>
2 #include<math.h>
3 using namespace std;
4 class Fract
5 {
6 public:
7 Fract(){num=0;den=1;}
8 Fract(int a=0,int b)
9 {
10 if(b==0)
11 {
12 cout<<"invalid fraction!!please check it!";
13 }
14 else
15 {
16 if(a*b<0)
17 {
18 num=-abs(a);
19 den=abs(b);
20 }
21 else
22 {
23 num=abs(a);
24 den=abs(b);
25 }
26 if(num!=0)
27 cutit(num,den);
28 }
29
30 }//构造
31 Fract(const Fract &t){num=t.num;den=t.den;}//复制构造
32 ~Fract(){}
33
34 void Show()const;//show函数
35 void Input();//input函数
36 void cutit(int &a,int &b);
37 friend Fract operator + (const Fract &a,const Fract &b);
38 friend Fract operator - (const Fract &a,const Fract &b);
39 friend Fract operator * (const Fract &a,const Fract &b);
40 friend Fract operator / (const Fract &a,const Fract &b);
41 friend Fract operator - (const Fract &a);//前置负号
42 Fract operator ++ ();//前置 ++
43 Fract operator ++ (int i);//后置++
44
45 void operator += (const Fract &b);//混合赋值+=
46 void operator -= (const Fract &b);//混合赋值-=
47 friend ostream &operator <<(ostream &out,const Fract &k);//重载<<
48 friend istream &operator >>(istream &in,Fract &a);//重载>>
49 friend Fract operator * (const Fract &a,int i);//分数乘整数
50 friend Fract operator * (int i,const Fract &a);//整数乘分数
51 friend Fract operator / (const Fract &a,int i);//分数除以整数
52 friend Fract operator / (int i,const Fract &a);//整数除以分数
53 double doublef(){return (double)num/den;}//分数转double
54
55 friend bool operator == (const Fract &a,const Fract &b);
56 friend bool operator != (const Fract &a,const Fract &b);
57 friend bool operator > (const Fract &a,const Fract &b);
58 friend bool operator < (const Fract &a,const Fract &b);
59 private:
60
61 int num; //分子
62
63 int den; //分母
64
65 };
66 void Fract::cutit(int &a,int &b)
67 {
68 int c,t;
69 int k1=abs(a),k2=abs(b);
70 if(k2>k1)
71 {
72 t=k1;
73 k1=k2;
74 k2=t;
75 }
76 do
77 {
78 c=k1%k2;
79 k1=k2;
80 k2=c;
81 }while(c!=0);
82 a=a/k1;
83 b=b/k1;
84 }
85 void Fract::Show()const
86 {
87 int a=num,b=den;
88 if(a==0)
89 cout<<"0"<<endl;
90 else if(a==b)
91 cout<<"1"<<endl;
92 else if(b==1)
93 cout<<num<<endl;
94 else
95 {
96 cout<<num<<"/"<<den<<endl;
97 }
98 }
99 void Fract::Input()
100 {
101 int a, b;
102 cin>>a>>b;
103 while(b==0)
104 {
105 cout<<"invalid fraction!!please rebuild it!";
106 cin>>a>>b;
107 }
108 if(b!=0)
109 {
110 if(a*b<0)
111 {
112 num=-abs(a);
113 den=abs(b);
114 }
115 else
116 {
117 num=abs(a);
118 den=abs(b);
119 }
120 cutit(num,den);
121 }
122 }
123 Fract operator+(const Fract &a,const Fract &b)
124 {
125 int k1,k2;
126 k1=a.num*b.den+b.num*a.den;
127 k2=a.den*b.den;
128 return Fract(k1,k2);
129 }
130 Fract operator-(const Fract &a,const Fract &b)
131 {
132 int k1,k2;
133 k1=a.num*b.den-b.num*a.den;
134 k2=a.den*b.den;
135 return Fract(k1,k2);
136 }
137 Fract operator*(const Fract &a,const Fract &b)
138 {
139 return Fract(a.num*b.num,a.den*b.den);
140 }
141 Fract operator/(const Fract &a,const Fract &b)
142 {
143 return Fract(a.num*b.den,a.den*b.num);
144 }
145 Fract operator - (const Fract &a)
146 {
147 return Fract(-a.num,a.den);
148 }
149 Fract Fract::operator ++ ()
150 {
151 num+=den;
152 return Fract(num,den);
153 }
154 Fract Fract::operator ++ (int i)
155 {
156 int a=num,b=den;
157 num+=den;
158 return Fract(a,b);
159 }
160 bool operator == (const Fract &a,const Fract &b)
161 {
162 double j1,j2;
163 j1=a.num/a.den;
164 j2=b.num/b.den;
165 if(j1-j2>-0.000001&&j1-j2<0.000001)
166 return 1;
167 else
168 return 0;
169 }
170 bool operator != (const Fract &a,const Fract &b)
171 {
172 double j1,j2;
173 j1=a.num/a.den;
174 j2=b.num/b.den;
175 if(j1-j2>-0.000001&&j1-j2<0.000001)
176 return 0;
177 else
178 return 1;
179 }
180 bool operator > (const Fract &a,const Fract &b)
181 {
182 double j1,j2;
183 j1=a.num/a.den;
184 j2=b.num/b.den;
185 if(j1>j2)
186 return 1;
187 else
188 return 0;
189 }
190 bool operator < (const Fract &a,const Fract &b)
191 {
192 double j1,j2;
193 j1=a.num/a.den;
194 j2=b.num/b.den;
195 if(j1<j2)
196 return 1;
197 else
198 return 0;
199 }
200 void Fract::operator += (const Fract &b)
201 {
202 int k1,k2;
203 k1=num*b.den+b.num*den;
204 k2=den*b.den;
205 cutit(k1,k2);
206 num=k1;
207 den=k2;
208 }
209 void Fract::operator -= (const Fract &b)
210 {
211 int k1,k2;
212 k1=num*b.den-b.num*den;
213 k2=den*b.den;
214 cutit(k1,k2);
215 num=k1;
216 den=k2;
217 }
218 Fract operator * (const Fract &a,int i)
219 {
220 return Fract(a.num*i,a.den);
221 }
222 Fract operator * (int i,const Fract &a)
223 {
224 return Fract(a.num*i,a.den);
225 }
226 Fract operator / (const Fract &a,int i)
227 {
228 return Fract(a.num,a.den*i);
229 }
230 Fract operator / (int i,const Fract &a)
231 {
232 return Fract(i*a.den,a.num);
233 }
234 /*
235 Fract Fract::operator =(double &k)
236 {
237 return a.num/a.den;
238 }*/
239 ostream &operator <<(ostream &out,const Fract &k)
240 {
241 int a=k.num,b=k.den;
242 if(a==0)
243 cout<<"0"<<endl;
244 else if(a==b)
245 cout<<"1"<<endl;
246 else if(b==1)
247 cout<<k.num<<endl;
248 else
249 {
250 cout<<k.num<<"/"<<k.den<<endl;
251 }
252 return out;
253 }
254 istream &operator >>(istream &in,Fract &a)
255 {
256 int k1,k2;
257 in>>k1>>k2;
258 a=Fract(k1,k2);
259 return in;
260 }
261 int main()
262
263 {
264
265 //测试默认构造函数与输出函数
266
267 Fract f1;
268
269 f1.Show(); //输出：0
270
271 //测试构造函数与输出函数
272
273 Fract f2(2,4);
274 Fract f3(-2,-4);
275 Fract f4(2,-5);
276 Fract f5(-2,5);
277 Fract f6(2,2);
278 Fract f7(0,8);
279 Fract f8(4,-2);
280
281 f2.Show(); //输出：1/2
282
283 f3.Show(); //输出：1/2
284
285 f4.Show(); //输出：-2/5
286
287 f5.Show(); //输出：-2/5
288
289 f6.Show(); //输出：1
290
291 f7.Show(); //输出：0
292
293 f8.Show(); //输出：-2
294
295 //测试复制构造函数
296
297 Fract f9(f2);
298
299 f9.Show(); //输出：1/2
300
301 //测试输入函数
302
303 f1.Input(); //输入： 2 6
304
305 f2.Input(); //输入： 1 8
306
307 f1.Show(); //输出： 1/3
308
309 f2.Show(); //输出： 1/8
310
311 //测试加减乘除
312
313 f3 = f1+f2;
314
315 f3.Show(); //输出：11/24
316
317 f4 = f1-f2;
318
319 f4.Show(); //输出：5/24
320
321 f3 = f1*f2;
322
323 f3.Show(); //输出 1/24
324
325 f4 = f4 / f3;
326
327 f4.Show(); //输出 5
328
329 //测试分数的负(-)、自增（前后置++)
330
331 f3 = -f1;
332
333 f3.Show(); //输出：-1/3
334
335 f3 = ++f1;
336
337 f1.Show(); //输出：4/3
338
339 f3.Show(); //输出：4/3
340
341 f3 = f1++;
342
343 f1.Show(); //输出：7/3
344
345 f3.Show(); //输出：4/3
346
347 //测试关系运算符== != > <以及分数与整数的 乘 除 运算
348 //对应数据 f1=7/3 f2=1/8 f3=4/3 f4=5 f5=-2/5 f6=1 f7=0 f8=-2 f9=1/2
349 if(f2*40==f4)
350 {
351 cout<<"yes1"<<endl; //验证分数乘整数 ==
352 }
353 if(40*f2==f4)
354 {
355 cout<<"yes2"<<endl;//验证整数乘分数==
356 }
357 if((f2/3)==(f3/32))
358 {
359 cout<<"yes3"<<endl;//验证分数除以整数==
360 }
361 if(4/f3!=f3)
362 {
363 cout<<"yes4"<<endl;//验证整数除以分数！=
364 }
365 if(f6>f9)
366 {
367 cout<<"yes5"<<endl;//验证大于
368 }
369 if(f9<f6)
370 {
371 cout<<"yes6"<<endl;//验证小于
372 }
373 //验证+= -=
374 f2+=f3;
375
376 f2.Show(); //输出 35/24
377
378 f4-=f5;
379
380 f4.Show();//输出 27/5
381
382 //验证 分数转double
383 double q=f4.doublef();
384 cout<<q<<endl;
385 //验证 >> <<
386 cin>>f1; //输入 5 10
387 cout<<f1; //输出 1/2
388
389 return 0;
390 }
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