如何添加两个分数? [英] How can you add two fractions?
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问题描述
如何在c#中像这样添加两个分数:
How can you add two fraction in c# like this:
11/6 + 3/4 = 31/12
11/6 + 3/4 = 31/12
然后您将如何简化答案?
and then how would you simplify the answer?
推荐答案
星期五星期五晚上无聊来了...导致了带有重载运算符的Fraction类.不能保证设计的简洁性.
As boredom strikes on a Friday night... resulting in a Fraction class with overloaded operators. Sobriety of design cannot be guaranteed.
它像这样...
Fraction left = "1/2";
Fraction right = "3/8";
Fraction result1 = ((left + right) * left / right).Simplify();
Console.WriteLine(result1);
Fraction test2 = "12/32";
test2 = test2.Simplify();
Console.WriteLine(test2);
实现如下...
public struct Fraction
{
public int Numerator { get; set; }
public int Denominator { get; set; }
public Fraction(int numerator, int denominator)
: this()
{
Numerator = numerator;
Denominator = denominator;
}
public Fraction Simplify()
{
int gcd = GCD();
return new Fraction(Numerator / gcd, Denominator / gcd);
}
public Fraction InTermsOf(Fraction other)
{
return Denominator == other.Denominator ? this :
new Fraction(Numerator * other.Denominator, Denominator * other.Denominator);
}
public int GCD()
{
int a = Numerator;
int b = Denominator;
while (b != 0)
{
int t = b;
b = a % b;
a = t;
}
return a;
}
public Fraction Reciprocal()
{
return new Fraction(Denominator, Numerator);
}
public static Fraction operator +(Fraction left, Fraction right)
{
var left2 = left.InTermsOf(right);
var right2 = right.InTermsOf(left);
return new Fraction(left2.Numerator + right2.Numerator, left2.Denominator);
}
public static Fraction operator -(Fraction left, Fraction right)
{
var left2 = left.InTermsOf(right);
var right2 = right.InTermsOf(left);
return new Fraction(left2.Numerator - right2.Numerator, left2.Denominator);
}
public static Fraction operator *(Fraction left, Fraction right)
{
return new Fraction(left.Numerator * right.Numerator, left.Denominator * right.Denominator);
}
public static Fraction operator /(Fraction left, Fraction right)
{
return new Fraction(left.Numerator * right.Denominator, left.Denominator * right.Numerator);
}
public static implicit operator Fraction(string value)
{
var tokens = value.Split('/');
int num;
int den;
if (tokens.Length == 1 && int.TryParse(tokens[0], out num))
{
return new Fraction(num, 1);
}
else if (tokens.Length == 2 && int.TryParse(tokens[0], out num) && int.TryParse(tokens[1], out den))
{
return new Fraction(num, den);
}
throw new Exception("Invalid fraction format");
}
public override string ToString()
{
return string.Format("{0}/{1}", Numerator, Denominator);
}
}
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