Added solution to problem 5

This commit is contained in:
2020-10-26 12:00:14 -04:00
parent e08a714687
commit a19249c00b
2 changed files with 107 additions and 1 deletions

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@@ -28,11 +28,12 @@ import { Problem1 } from "./Problems/Problem1";
import { Problem2 } from "./Problems/Problem2";
import { Problem3 } from "./Problems/Problem3";
import { Problem4 } from "./Problems/Problem4";
import { Problem5 } from "./Problems/Problem5";
export class ProblemSelection{
//Holds the valid problem numbers
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4];
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -42,6 +43,7 @@ export class ProblemSelection{
case 2 : problem = new Problem2(); break;
case 3 : problem = new Problem3(); break;
case 4 : problem = new Problem4(); break;
case 5 : problem = new Problem5(); break;
}
return problem;
}

104
Problems/Problem5.ts Normal file
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@@ -0,0 +1,104 @@
//ProjectEulerTS/Problems/Problem5.ts
//Matthew Ellison
// Created: 10-26-20
//Modified: 10-26-20
//What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
/*
Copyright (C) 2020 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 <https://www.gnu.org/licenses/>.
*/
import { Problem } from "./Problem";
import { Unsolved } from "../Unsolved";
export class Problem5 extends Problem{
//Variables
//Instance variables
private smallestNum: number; //The smallest number that is found
//Funmctions
//Constructor
public constructor(){
super("What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?");
this.smallestNum = 0;
}
//Operational functions
//Solve the problem
public solve(): void{
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Start the timer
this.timer.start();
//Start at 20 because it must at least be divisible by 20. Increment by 2 because it must be an even number to be divisible by 2
let numFound: boolean = false; //A flag for finding the divisible number
let currentNum: number = 20; //The number that it is currently checking against
while((currentNum > 0) && (!numFound)){
//Start by assuming you found the number (because we throw a flag if we didn't find it)
numFound = true;
//Step through every number from 1-20 seeing if the current number is divisible by it
for(let divisor: number = 1;divisor <= 20;++divisor){
//If it is not divisible then throw a flag and start looking at the next number
if((currentNum % divisor) != 0){
numFound = false;
break;
}
}
//If you didn't find the correct number then increment by 2
if(!numFound){
currentNum += 2;
}
}
this.smallestNum = currentNum
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem is solved
this.solved = true;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.smallestNum = 0;
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
if(!this.solved){
throw new Unsolved();
}
return `The smallest positive number evenly divisible by all number 1-20 is ${this.smallestNum}`;
}
//Returns the requested number
public getNumber(): number{
if(!this.solved){
throw new Unsolved();
}
return this.smallestNum;
}
}
/* Results:
The smallest positive number evenly divisible by all number 1-20 is 232792560
It took an average of 892.378 milliseconds to run this problem through 100 iterations
*/