結果

問題 No.368 LCM of K-products
ユーザー EmKjpEmKjp
提出日時 2019-06-04 23:15:41
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 72 ms / 2,000 ms
コード長 5,559 bytes
コンパイル時間 3,670 ms
コンパイル使用メモリ 116,664 KB
実行使用メモリ 25,852 KB
最終ジャッジ日時 2023-10-23 21:32:30
合計ジャッジ時間 4,341 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
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 47 ms
25,852 KB
testcase_01 AC 59 ms
25,788 KB
testcase_02 AC 43 ms
25,848 KB
testcase_03 AC 49 ms
25,852 KB
testcase_04 AC 48 ms
25,852 KB
testcase_05 AC 72 ms
25,788 KB
testcase_06 AC 35 ms
25,436 KB
testcase_07 AC 36 ms
25,508 KB
testcase_08 AC 34 ms
25,436 KB
testcase_09 AC 36 ms
25,508 KB
testcase_10 AC 36 ms
25,508 KB
testcase_11 AC 37 ms
25,508 KB
testcase_12 AC 37 ms
25,500 KB
testcase_13 AC 45 ms
25,852 KB
testcase_14 AC 50 ms
25,852 KB
testcase_15 AC 52 ms
25,852 KB
testcase_16 AC 48 ms
25,852 KB
testcase_17 AC 47 ms
25,852 KB
testcase_18 AC 52 ms
25,852 KB
testcase_19 AC 43 ms
25,844 KB
testcase_20 AC 48 ms
25,852 KB
testcase_21 AC 43 ms
25,844 KB
testcase_22 AC 51 ms
25,852 KB
testcase_23 AC 35 ms
25,436 KB
testcase_24 AC 35 ms
25,436 KB
testcase_25 AC 37 ms
25,500 KB
testcase_26 AC 35 ms
25,436 KB
testcase_27 AC 36 ms
25,500 KB
testcase_28 AC 37 ms
25,508 KB
testcase_29 AC 37 ms
25,492 KB
testcase_30 AC 37 ms
25,496 KB
testcase_31 AC 37 ms
25,496 KB
testcase_32 AC 37 ms
25,492 KB
testcase_33 AC 44 ms
25,844 KB
testcase_34 AC 43 ms
25,852 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.IO;
using System.Collections.Generic;
using System.Globalization;
using System.Linq;
using System.Text;
using E = System.Linq.Enumerable;


partial class Solver
{
    IEnumerable<int> GetFactorPrimes(PrimeSet primes, int x)
    {
        var r = new List<int>();
        foreach (var p in primes)
        {
            if (p * p > x) break;
            if (x % p == 0)
            {
                r.Add(p);
                while (x % p == 0) x /= p;
            }
        }
        if (x > 1) r.Add(x);
        return r;
    }

    public void Run()
    {
        var N = ni();
        var K = ni();
        var a = ni(N);

        var primes = new PrimeSet(100000);
        var ps = a.SelectMany(x => GetFactorPrimes(primes, x)).Distinct().ToArray();
        long ans = 1;
        foreach (var p in ps)
        {
            var power = new List<int>();
            foreach (var x in a)
            {
                int pow = 0;
                var xx = x;
                while (xx % p == 0)
                {
                    xx /= p;
                    pow++;
                }
                if (pow > 0) power.Add(pow);
            }
            power.Sort();
            power.Reverse();

            var s = power.Take(K).Sum();
            for (int i = 0; i < s; i++)
            {
                ans = (ans * p) % 1000000007;
            }
        }
        cout.WriteLine(ans);
    }


}

public class PrimeSet : List<int>
{
    private readonly bool[] isPrime;

    public PrimeSet(int size)
        : base()
    {
        isPrime = Enumerable.Repeat(true, size).ToArray();
        Add(2);
        for (int i = 3; i <= size; i += 2)
        {
            if (!isPrime[i >> 1]) continue;
            Add(i);
            for (long j = (long)i * i; j <= size; j += i + i)
                isPrime[j >> 1] = false;
        }
    }

    public bool IsPrime(long x)
    {
        if (x == 2) return true;
        if (x <= 1 || x % 2 == 0) return false;
        return isPrime[x >> 1];
    }
}

// PREWRITEN CODE BEGINS FROM HERE
partial class Solver : Scanner
{
    public static void Main(string[] args)
    {
#if LOCAL
        new Solver(Console.In, Console.Out).Run();
#else
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver(Console.In, Console.Out).Run();
        Console.Out.Flush();
#endif
    }

#pragma warning disable IDE0052
    private readonly TextReader cin;
    private readonly TextWriter cout;
#pragma warning restore IDE0052

    public Solver(TextReader reader, TextWriter writer)
        : base(reader)
    {
        this.cin = reader;
        this.cout = writer;
    }
    public Solver(string input, TextWriter writer)
        : this(new StringReader(input), writer)
    {
    }

#pragma warning disable IDE1006
#pragma warning disable IDE0051
    private int ni() { return NextInt(); }
    private int[] ni(int n) { return NextIntArray(n); }
    private long nl() { return NextLong(); }
    private long[] nl(int n) { return NextLongArray(n); }
    private double nd() { return NextDouble(); }
    private double[] nd(int n) { return NextDoubleArray(n); }
    private string ns() { return Next(); }
    private string[] ns(int n) { return NextArray(n); }
#pragma warning restore IDE1006
#pragma warning restore IDE0051
}

public static class LinqPadExtension
{
    static public T Dump<T>(this T obj)
    {
#if LOCAL
        return LINQPad.Extensions.Dump(obj);
#else
        return obj;
#endif
    }
}
public class Scanner
{
    private readonly TextReader Reader;
    private readonly Queue<string> TokenQueue = new Queue<string>();
    private readonly CultureInfo ci = CultureInfo.InvariantCulture;

    public Scanner()
        : this(Console.In)
    {
    }

    public Scanner(TextReader reader)
    {
        this.Reader = reader;
    }

    public int NextInt() { return int.Parse(Next(), ci); }
    public long NextLong() { return long.Parse(Next(), ci); }
    public double NextDouble() { return double.Parse(Next(), ci); }
    public string[] NextArray(int size)
    {
        var array = new string[size];
        for (int i = 0; i < size; i++) array[i] = Next();
        return array;
    }
    public int[] NextIntArray(int size)
    {
        var array = new int[size];
        for (int i = 0; i < size; i++) array[i] = NextInt();
        return array;
    }

    public long[] NextLongArray(int size)
    {
        var array = new long[size];
        for (int i = 0; i < size; i++) array[i] = NextLong();
        return array;
    }

    public double[] NextDoubleArray(int size)
    {
        var array = new double[size];
        for (int i = 0; i < size; i++) array[i] = NextDouble();
        return array;
    }

    public string Next()
    {
        if (TokenQueue.Count == 0)
        {
            if (!StockTokens()) throw new InvalidOperationException();
        }
        return TokenQueue.Dequeue();
    }

    public bool HasNext()
    {
        if (TokenQueue.Count > 0)
            return true;
        return StockTokens();
    }
    static readonly char[] _separator = new[] { ' ' };
    private bool StockTokens()
    {
        while (true)
        {
            var line = Reader.ReadLine();
            if (line == null) return false;
            var tokens = line.Split(_separator, StringSplitOptions.RemoveEmptyEntries);
            if (tokens.Length == 0) continue;
            foreach (var token in tokens)
                TokenQueue.Enqueue(token);
            return true;
        }
    }
}
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