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63 lines
2.3 KiB
C++
63 lines
2.3 KiB
C++
//ProjectEuler/ProjectEulerCPP/Headers/Problem20.hpp
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//Matthew Ellison
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// Created: 11-07-18
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//Modified: 07-09-20
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//What is the sum of the digits of 100!?
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
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//This file contains a header from the gmp library. The library is used for large integers.
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//You can find more information about them at https://gmplib.org/
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//When compiling this file you need to have the gmp library installed as well as linking the libraries to your executable using the -lgmpxx and -lgmp flags
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/*
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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#ifndef PROBLEM20_HPP
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#define PROBLEM20_HPP
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#include <cinttypes>
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#include <string>
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#include "gmpxx.h"
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#include "Problem.hpp"
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class Problem20 : public Problem{
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private:
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//Variables
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//Instance variables
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mpz_class num; //Holds the number 100!
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uint64_t sum; //The sum of the digits of num
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public:
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//Constructor
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Problem20();
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//Operational functions
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virtual void solve(); //Solve the problem
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virtual void reset(); //Reset the problem so it can be run again
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//Gets
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virtual std::string getString() const; //Return a string with the solution to the problem
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mpz_class getNumber() const; //Returns the number 100!
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std::string getNumberString() const; //Returns the number 100! in a string
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uint64_t getSum() const; //Returns the sum of the digits of 100!
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};
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/* Results:
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100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
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The sum of the digits is: 648
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It took an average of 4.094 microseconds to run this problem over 100 iterations
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*/
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#endif //PROBLEM20_HPP
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