タイトルそのままです。1 / 2 + 1 / 3 を計算したら 5 / 6 が出力されるようなものを作ります。
下記のコードでは加減乗除の演算をしたあとは約分をしています。また分母が負数にならないようにしています。
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public class Fractions { /// <summary> /// 分母 /// </summary> public long Denominator = 0; /// <summary> /// 分子 /// </summary> public long Molecule = 0; /// <summary> /// コンストラクタ /// </summary> /// <param name="denominator">分母</param> /// <param name="molecule">分子</param> public Fractions(long molecule, long denominator) { Denominator = denominator; Molecule = molecule; Simplify(); } public Fractions(Fractions f) { Denominator = f.Denominator; Molecule = f.Molecule; } ///// <summary> ///// 分数の値を double 型で返す ///// </summary> public double Value { get => (double)Molecule / Denominator; } ///// <summary> ///// "X / Y" のような文字列を返す ///// </summary> public new string ToString() { return $"{Molecule} / {Denominator}"; } ///// <summary> ///// 最大公約数 ///// </summary> public static long GCD(long a, long b) => b > a ? GCD(b, a) : (b == 0 ? a : GCD(b, a % b)); /// <summary> /// 最小公倍数 /// </summary> public static long LCM(long a, long b) => a / GCD(a, b) * b; /// <summary> /// 約分する /// </summary> public void Simplify() { long gcd = GCD(Math.Abs(Denominator), Math.Abs(Molecule)); Denominator /= gcd; Molecule /= gcd; if (Denominator < 0) { Denominator *= -1; Molecule *= -1; } } /// <summary> /// 加算 /// </summary> public static Fractions operator +(Fractions f1, Fractions f2) { long deno = LCM(f1.Denominator, f2.Denominator); long mole = f1.Molecule * deno / f1.Denominator + f2.Molecule * deno / f2.Denominator; Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 減算 /// </summary> public static Fractions operator -(Fractions f1, Fractions f2) { long deno = LCM(f1.Denominator, f2.Denominator); long mole = f1.Molecule * deno / f1.Denominator - f2.Molecule * deno / f2.Denominator; Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 乗算 /// </summary> public static Fractions operator *(Fractions f1, Fractions f2) { long deno = f1.Denominator * f2.Denominator; long mole = f1.Molecule * f2.Molecule; Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 整数倍 /// </summary> public static Fractions operator *(Fractions f, int v) { long deno = f.Denominator; long mole = f.Molecule * v; Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 整数倍 /// </summary> public static Fractions operator *(Fractions f, long v) { long deno = f.Denominator; long mole = f.Molecule * v; Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 除算 /// </summary> /// <exception cref="DivideByZeroException"></exception> public static Fractions operator /(Fractions f1, Fractions f2) { long deno = f1.Denominator * f2.Molecule; long mole = f1.Molecule * f2.Denominator; if (deno == 0) throw new DivideByZeroException(); Fractions ans = new Fractions(mole, deno); ans.Simplify(); return ans; } /// <summary> /// 比較演算子 /// </summary> public static bool operator ==(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule == 0; } public static bool operator !=(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule != 0; } public static bool operator >(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule > 0; } public static bool operator <(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule < 0; } public static bool operator >=(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule >= 0; } public static bool operator <=(Fractions f1, Fractions f2) { Fractions f = f1 - f2; return f.Molecule <= 0; } } |
