//ProjectEuler/C++/Source/Problem20.cpp //Matthew Ellison // Created: 11-07-18 //Modified: 07-14-19 //What is the sum of the digits of 100!? //Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses //This file contains a header from the gmp library. The library is used for large integers. //You can find more information about them at https://gmplib.org/ //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 /* Copyright (C) 2019 Matthew Ellison This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . */ #include #include #include #include "gmpxx.h" #include "Stopwatch.hpp" #include "../Headers/Problem20.hpp" Problem20::Problem20() : Problem("What is the sum of the digits of 100!?"), num(1), sum(0){ //num Starts at 1 because multiplication is performed on it //sum starts at 0 because addition is performed on it } void Problem20::solve(){ //If the problem has already been solved do nothing and end the function if(solved){ return; } //Start the timer timer.start(); //Run through every number from 1 to 100 and multiply it by the current num for(int cnt = 1;cnt <= 100;++cnt){ num *= cnt; } //Get a string of the number because it is easier to pull appart the individual characters std::string numString = num.get_str(); //Run through every character in the string, convert it back to an integer and add it to the running sum for(unsigned int cnt = 0;cnt < numString.size();++cnt){ sum += std::stoi(numString.substr(cnt, 1)); } //Stop the timer timer.stop(); //Throw a flag to show the problem is solved solved = true; } std::string Problem20::getString() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw unsolved(); } std::stringstream results; //Print the results results << "100! = " << num.get_str() << "\nThe sum of the digits is: " << sum; return results.str(); } mpz_class Problem20::getNumber() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw unsolved(); } return num; } std::string Problem20::getNumberString() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw unsolved(); } return num.get_str(); } uint64_t Problem20::getSum() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw unsolved(); } return sum; } void Problem20::reset(){ Problem::reset(); sum = 0; num = 1; }