Fraction.h宣告檔案

#import <Foundation/Foundation.h>

@interface Fraction : NSObject
@property (nonatomic) NSInteger member;//分子
@property (nonatomic) NSInteger denominator;//分母

//初始化
- (id)initWitnMember:(NSInteger)member denominator:(NSInteger)denominator;
//最大公約數
- (NSInteger)gcdNumber:(NSInteger)member denominator:(NSInteger)denominator;
//相加
- (Fraction *)sumNumber:(Fraction *)fraction;
//相減
- (Fraction *)reduceNumber:(Fraction *)fraction;
//相乘
- (Fraction *)rideNumber:(Fraction *)fraction;
//相除
- (Fraction *)divideNumber:(Fraction *)fraction;
//比較大小
- (NSComparisonResult)resultCompare:(Fraction *)fraction;
//約分
- (void)simplifyNumber;
@end
 

#import "Fraction.h"

@implementation Fraction
//初始化
- (id)initWitnMember:(NSInteger)member denominator:(NSInteger)denominator{
    self = [super init];
    if(self != nil){
        self.member = member;
        self.denominator = denominator;
    }
    return self;
}
//最大公約數
- (NSInteger)gcdNumber:(NSInteger)member denominator:(NSInteger)denominator{
    NSInteger a = member % denominator;
    while (a != 0) {
        member = denominator;
        denominator = a;
        a = member % denominator;
    }
    return denominator;
}
//約分
- (void)simplifyNumber{
    NSInteger divisor = [self gcdNumber:self.member denominator:self.denominator];
    self.member/= divisor;
    self.denominator/= divisor;
}

//相加
- (Fraction *)sumNumber:(Fraction *)fraction{
    Fraction *fr = [[Fraction alloc] init];
    fr.member = [self member]*[fraction denominator] + [fraction member]*[self denominator];
    fr.denominator = [fraction denominator]*[self denominator];
    [fr simplifyNumber];
    return fr;
}
//相減
- (Fraction *)reduceNumber:(Fraction *)fraction{
    Fraction *fr = [[Fraction alloc] init];
    fr.member = self.member*fraction.denominator - fraction.member*self.denominator;
    fr.denominator = self. denominator*fraction.denominator;
    [fr simplifyNumber];
    return fr;
}
//相乘
- (Fraction *)rideNumber:(Fraction *)fraction{
    Fraction *fr = [[Fraction alloc] init];
    fr.member = [self member]*[fraction member];
    fr.denominator = [self denominator]*[fraction denominator];
    [fr simplifyNumber];
    return fr;
}
//相除
- (Fraction *)divideNumber:(Fraction *)fraction{
    Fraction *fr = [[Fraction alloc] init];
    fr.member = [self member]*[fraction denominator];
    fr.denominator = [self denominator]*[fraction member];
    [fr simplifyNumber];
    return fr;
}
//比較大小
- (NSComparisonResult)resultCompar:(Fraction *)fraction{
    NSInteger sum1 = [self member]*[fraction denominator];
    NSInteger sum2 = [fraction member]*[self denominator];
    NSInteger sum = sum1 - sum2;
    if (sum > 0) {
        return NSOrderedSame;
    }else if (sum == 0){
        return NSOrderedSame;
    }else{
        return NSOrderedAscending;
    }
}
@end
 

#import <Foundation/Foundation.h>
#import "Fraction.h"

int main(int argc, const char * argv[])
{

    @autoreleasepool {
        
        Fraction *fr1 = [[Fraction alloc] initWitnMember:1 denominator:3];
        Fraction *fr2 = [[Fraction alloc] initWitnMember:3 denominator:5];
        //NSArray *arr = [[NSArray alloc] initWithObjects:fr1,fr2, nil];
        //相加
        Fraction *fr = [fr1 sumNumber:fr2];
        NSLog(@"%ld/%ld", fr.member, fr.denominator);
        //相減
        Fraction *fra = [fr1 reduceNumber:fr2];
        NSLog(@"%ld/%ld", fra.member,fra.denominator);
        //相乘
        Fraction *fra1 = [fr1 rideNumber:fr2];
        NSLog(@"%ld/%ld", fra1.member,fra1.denominator);
        //相除
        Fraction *fra2 = [fr1 divideNumber:fr2];
        NSLog(@"%ld/%ld", fra2.member,fra2.denominator);

       
    }
    return 0;
}