Submission #50370958

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Source Code Expand

using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Numerics;

namespace Tasks;

public class D
{
    public static void Main()
    {
        using var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        Solve();
        Console.Out.Flush();
    }

    public static void Solve()
    {
        var (N, M, K) = Scanner.Scan<long, long, long>();
        var lcm = Lcm(N, M);

        bool F(long x)
        {
            // Console.WriteLine($"x:{x}, x/N:{x / N} x/M:{x / M} x/lcm:{x / lcm} {x / N + x / M - x / lcm}");
            return (x / N) + (x / M) - ((x / lcm) * 2) >= K;
        }

        const long Inf = 1L << 60;
        var answer = BinarySearch(0, Inf, F);
        Console.WriteLine(answer);
    }

    public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
    public static long Lcm(long a, long b) => a / Gcd(a, b) * b;

    public static T BinarySearch<T>(T ng, T ok, Func<T, bool> f) where T : INumber<T> => BinarySearch(ng, ok, f, T.One);
    public static T BinarySearch<T>(T ng, T ok, Func<T, bool> f, T eps) where T : INumber<T>
    {
        var one = T.One;
        var two = one + one;
        while (T.Abs(ok - ng) > eps)
        {
            var m = ng + (ok - ng) / two;
            if (f(m)) ok = m;
            else ng = m;
        }
        return ok;
    }

    public static class Scanner
    {
        public static T Scan<T>() where T : IConvertible => Convert<T>(ScanStringArray()[0]);
        public static (T1, T2) Scan<T1, T2>() where T1 : IConvertible where T2 : IConvertible
        {
            var input = ScanStringArray();
            return (Convert<T1>(input[0]), Convert<T2>(input[1]));
        }
        public static (T1, T2, T3) Scan<T1, T2, T3>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible
        {
            var input = ScanStringArray();
            return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]));
        }
        public static (T1, T2, T3, T4) Scan<T1, T2, T3, T4>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible
        {
            var input = ScanStringArray();
            return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]));
        }
        public static (T1, T2, T3, T4, T5) Scan<T1, T2, T3, T4, T5>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible
        {
            var input = ScanStringArray();
            return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]), Convert<T5>(input[4]));
        }
        public static (T1, T2, T3, T4, T5, T6) Scan<T1, T2, T3, T4, T5, T6>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible where T6 : IConvertible
        {
            var input = ScanStringArray();
            return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]), Convert<T5>(input[4]), Convert<T6>(input[5]));
        }
        public static IEnumerable<T> ScanEnumerable<T>() where T : IConvertible => ScanStringArray().Select(Convert<T>);
        private static string[] ScanStringArray()
        {
            var line = Console.ReadLine()?.Trim() ?? string.Empty;
            return string.IsNullOrEmpty(line) ? Array.Empty<string>() : line.Split(' ');
        }
        private static T Convert<T>(string value) where T : IConvertible => (T)System.Convert.ChangeType(value, typeof(T));
    }
}

Submission Info

Judge Result