LargestProductInASeries.java 4.1 KB

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  1. /* The four adjacent digits in the 1000-digit number that have the greatest
  2. product are 9 × 9 × 8 × 9 = 5832.
  3. 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450
  4. Find the thirteen adjacent digits in the 1000-digit number that have the
  5. greatest product. What is the value of this product? */
  6. // To get a slice of the array of numbers
  7. import java.util.Arrays;
  8. /* To ensure that all numbers are processed, even if the amount of numbers left
  9. in the array is less than the slice size */
  10. import java.lang.ArrayIndexOutOfBoundsException;
  11. public class LargestProductInASeries {
  12. /* To create an array of characters that can be split into slices, based on
  13. the number of numbers to be multiplied together */
  14. private String numString = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450";
  15. // To store each number in the string as a separate element in an array
  16. private char[] nums;
  17. public LargestProductInASeries() {
  18. this.nums = numString.toCharArray();
  19. }
  20. /* "num" parameter is used to specify the size of each slice of the provided
  21. number */
  22. public int findGreatestProduct(int num) {
  23. // To contain the largest product of the specified subset of all the numbers
  24. int largestProduct = 0;
  25. // To contain each subset of numbers to be multiplied together
  26. char[] slice;
  27. // To get the product for each slice of the array
  28. int product;
  29. for (int i = 0; i < this.nums.length; i++) {
  30. // To make sure the product for each slice only has that slice's data
  31. product = 0;
  32. if ( !((i + num) >= this.nums.length - 1) ) {
  33. slice = Arrays.copyOfRange(this.nums, i, i + num);
  34. System.out.println(slice);
  35. // To multiply all the numbers on the specified slice together
  36. for (char character : slice) {
  37. int charNum = Character.getNumericValue(character);
  38. if (product == 0) {
  39. product = charNum;
  40. } else {
  41. product *= charNum;
  42. }
  43. }
  44. /* To determine if the current product is greater than the current
  45. largest product */
  46. if (product > largestProduct)
  47. largestProduct = product;
  48. }
  49. }
  50. return largestProduct;
  51. }
  52. }