結果

問題 No.280 歯車の問題(1)
ユーザー くれちーくれちー
提出日時 2017-08-17 18:19:32
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 44 ms / 1,000 ms
コード長 5,879 bytes
コンパイル時間 1,101 ms
コンパイル使用メモリ 112,512 KB
実行使用メモリ 20,096 KB
最終ジャッジ日時 2024-04-22 14:50:16
合計ジャッジ時間 4,866 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 43 ms
19,712 KB
testcase_01 AC 42 ms
19,840 KB
testcase_02 AC 43 ms
19,840 KB
testcase_03 AC 43 ms
20,096 KB
testcase_04 AC 42 ms
19,840 KB
testcase_05 AC 43 ms
19,840 KB
testcase_06 AC 43 ms
19,840 KB
testcase_07 AC 42 ms
19,840 KB
testcase_08 AC 43 ms
19,840 KB
testcase_09 AC 44 ms
19,840 KB
testcase_10 AC 44 ms
20,096 KB
testcase_11 AC 43 ms
19,840 KB
testcase_12 AC 42 ms
19,712 KB
testcase_13 AC 42 ms
19,968 KB
testcase_14 AC 43 ms
19,968 KB
testcase_15 AC 44 ms
19,712 KB
testcase_16 AC 43 ms
19,840 KB
testcase_17 AC 44 ms
20,096 KB
testcase_18 AC 43 ms
19,840 KB
testcase_19 AC 43 ms
19,840 KB
testcase_20 AC 43 ms
19,712 KB
testcase_21 AC 43 ms
19,968 KB
testcase_22 AC 44 ms
20,096 KB
testcase_23 AC 43 ms
19,968 KB
testcase_24 AC 43 ms
19,968 KB
testcase_25 AC 42 ms
19,840 KB
testcase_26 AC 44 ms
19,840 KB
testcase_27 AC 43 ms
19,968 KB
testcase_28 AC 44 ms
20,096 KB
testcase_29 AC 44 ms
19,840 KB
testcase_30 AC 44 ms
19,840 KB
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コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Text;
using static System.Console;
using static System.Convert;
using static System.Math;
using static Extentions;

class IO
{
    int idx;
    string[] input = In.ReadToEnd().Split(new[] { " ", "\n", "\r" },
        StringSplitOptions.RemoveEmptyEntries);

    T Get<T>(Func<string, T> parser) => parser(input[idx++]);

    public string S => Get(s => s);
    public char C => Get(char.Parse);
    public int I => Get(int.Parse);
    public long L => Get(long.Parse);
    public double F => Get(double.Parse);
    public decimal D => Get(decimal.Parse);
    public BigInteger B => Get(BigInteger.Parse);

    T[] Gets<T>(int n, Func<string, T> parser)
        => input.Skip((idx += n) - n).Take(n).Select(parser).ToArray();

    public string[] Ss(int n) => Gets(n, s => s);
    public char[] Cs(int n) => Gets(n, char.Parse);
    public int[] Is(int n) => Gets(n, int.Parse);
    public long[] Ls(int n) => Gets(n, long.Parse);
    public double[] Fs(int n) => Gets(n, double.Parse);
    public decimal[] Ds(int n) => Gets(n, decimal.Parse);
    public BigInteger[] Bs(int n) => Gets(n, BigInteger.Parse);

    public void Write<T>(params T[] xs) => WriteLine(string.Join(" ", xs));
    public void Write(params object[] xs) => WriteLine(string.Join(" ", xs));
}

#region Library

struct Rational : IComparable<Rational>, IEquatable<Rational>
{
    BigInteger numer;
    BigInteger denom;
    public BigInteger Numer { get { this.Reduce(); return numer; } }
    public BigInteger Denom { get { this.Reduce(); return denom; } }

    public int Sign => numer.CompareTo(0) * denom.CompareTo(0);

    public Rational(BigInteger numer, BigInteger denom)
    {
        if (denom == 0) throw new ArgumentException();
        this.numer = numer;
        this.denom = denom;
    }

    public Rational(Rational numer, Rational denom)
    {
        this = numer / denom;
    }

    void Reduce() => Reduce(ref numer, ref denom);

    static void Reduce(ref BigInteger numer, ref BigInteger denom)
    {
        if (numer == 0) { denom = 1; return; }
        var gcd = BigInteger.GreatestCommonDivisor(numer, denom);
        numer /= gcd; denom /= gcd;
        if (denom < 0) { numer *= -1; denom *= -1; }
    }

    public Rational Invert()
    {
        if (numer == 0) throw new InvalidOperationException();
        return new Rational(denom, numer);
    }

    public static Rational operator -(Rational value)
        => new Rational(-value.numer, value.denom);

    public static Rational operator +(Rational left, Rational right)
    {
        left.Reduce(); right.Reduce();
        var d = Lcm(left.denom, right.denom);
        var n = left.numer * (d / left.denom) + right.numer * (d / right.denom);
        return new Rational(n, d);
    }

    public static Rational operator *(Rational left, Rational right)
    {
        left.Reduce(); right.Reduce();
        //Reduce(ref left.numer, ref right.denom);
        //Reduce(ref left.denom, ref right.numer);
        var n = left.numer * right.numer;
        var d = left.denom * right.denom;
        return new Rational(n, d);
    }

    public static Rational operator -(Rational left, Rational right)
        => left + -right;

    public static Rational operator /(Rational left, Rational right)
        => left * right.Invert();

    public static Rational operator %(Rational left, Rational right)
        => left - (BigInteger)(left / right) * right;

    public static bool operator ==(Rational left, Rational right)
        => left.Equals(right);

    public static bool operator !=(Rational left, Rational right)
        => !left.Equals(right);

    public static bool operator <(Rational left, Rational right)
        => left.CompareTo(right) < 0;

    public static bool operator >(Rational left, Rational right)
        => left.CompareTo(right) > 0;

    public static bool operator <=(Rational left, Rational right)
        => left.CompareTo(right) <= 0;

    public static bool operator >=(Rational left, Rational right)
        => left.CompareTo(right) >= 0;

    public static implicit operator Rational(int value)
        => new Rational(value, 1);

    public static implicit operator Rational(long value)
        => new Rational(value, 1);

    public static implicit operator Rational(BigInteger value)
        => new Rational(value, 1);

    public static explicit operator BigInteger(Rational value)
        => value.numer / value.denom;

    public static explicit operator double(Rational value)
        => (double)value.numer / (double)value.denom;

    public int CompareTo(Rational other) => (this - other).Sign;

    public bool Equals(Rational other)
    {
        var r = this / other;
        return r.numer == r.denom;
    }

    public override bool Equals(object obj)
    {
        if (!(obj is Rational)) return false;
        var r = (Rational)obj / this;
        return r.numer == r.denom;
    }

    public override int GetHashCode()
        => this.Numer.GetHashCode() ^ this.Denom.GetHashCode();

    public override string ToString() => $"{this.Numer}/{this.Denom}";
}

static partial class Extentions
{
    public static BigInteger Lcm(BigInteger x, BigInteger y)
        => x / BigInteger.GreatestCommonDivisor(x, y) * y;
}

#endregion

static class Program
{
    public static void Main()
    {
        var sw = new StreamWriter(OpenStandardOutput()) { NewLine = "\n" };
#if DEBUG
        sw.AutoFlush = true;
#else
        sw.AutoFlush = false;
#endif
        SetOut(sw);
        Solve(new IO());
        Out.Flush();
    }

    static void Solve(IO io)
    {
        var n = io.I;
        var z = io.Bs(n);

        var t = new Rational(1, 1);
        for (var i = 0; i < n - 1; i++) t = t * z[i] / z[i + 1];

        var gr = 1 / t;
        io.Write(gr);
    }
}
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