The Problem:
Find the greatest product of five consecutive digits in the 1000-digit number.
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
My Solution (in Java):
// Author: William Clausen // // Date: Jan 7, 2013 // // This program solves Problem 8 from Project Euler. public class Problem8 { // Datamembers to hold the number of numbers to be multiplied // and the number itself. public int numMult; public String nums; Problem8(int mult, String numbers) { numMult = mult; nums = numbers; } // This method solves the problem. public int solve() { // Integers to store the largest product seen so far and // the most recent product. int bigProd = 1; int newProd = 1; // An array to keep track of which numbers are being multiplied together. int[] multiples = new int[numMult]; // Now, loop through the whole number (which is a string) and store the last five // numbers seen in an array. Calculate the product of those five numbers // and check if it's the biggest product seen so far. If the new product is the // largest seen so far, store it. for (int i = 0; i < nums.length(); i++) { if (multiples[i % numMult] != 0) { newProd /= multiples[i % numMult]; } // Here is some safety work to make sure only numbers are being multiplied. if (Character.isDigit(nums.charAt(i))) { multiples[i % numMult] = Integer.parseInt(nums.substring(i, i+1)); } else { // If a non-number is encountered, then I decided the product should be // 0 for as long as that character would have been in the array of // stored numbers. for (int j = 0; j < numMult; j++) { multiples[j] = 0; } } newProd = calcProd(multiples); if (newProd > bigProd) { bigProd = newProd; } } return bigProd; } // Method that calculates the product of numbers stored in an array. public int calcProd(int[] nums) { int prod = 1; for (int i = 0; i < nums.length; i++) { if (nums[i] == 0) { return 0; } else { prod *= nums[i]; } } return prod; } }