Question: The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.
73167176531330624919225119674426574742355349194934
96983520312774506326239578318016984801869478851843
85861560789112949495459501737958331952853208805511
12540698747158523863050715693290963295227443043557
66896648950445244523161731856403098711121722383113
62229893423380308135336276614282806444486645238749
30358907296290491560440772390713810515859307960866
70172427121883998797908792274921901699720888093776
65727333001053367881220235421809751254540594752243
52584907711670556013604839586446706324415722155397
53697817977846174064955149290862569321978468622482
83972241375657056057490261407972968652414535100474
82166370484403199890008895243450658541227588666881
16427171479924442928230863465674813919123162824586
17866458359124566529476545682848912883142607690042
24219022671055626321111109370544217506941658960408
07198403850962455444362981230987879927244284909188
84580156166097919133875499200524063689912560717606
05886116467109405077541002256983155200055935729725
71636269561882670428252483600823257530420752963450
Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
In my solution, I've used StringTokenier to first break the number into parts from places wherever a 0 is found. Then I've used nested loops to calculate the product of each sequence of of 13 (or less) digits accordingly.
import java.util.*;
public class Project_Euler_8
{
public static void main(String num)
{
StringTokenizer st= new StringTokenizer(num, "0");
String arr []= new String [1000];
int i=0;
while(st.hasMoreTokens())
{
arr[i++]=st.nextToken();
}
long product=1L;
long temp;
for(int j=0;j<i;j++)
{
if(arr[j].length()<=13)
{
temp=findProduct(arr[j], 0, arr[j].length());
if(temp>product)
{
product=temp;
}
}
else
{
int end=13;
int start=0;
while(end<=arr[j].length())
{
temp=findProduct(arr[j], start, end);
start++;
end++;
if(temp>product)
{
product=temp;
}
}
}
}
System.out.println(product);
}
public static long findProduct(String str, int start, int end)
{
long product=1L;
for(int i=start;i<end;i++)
{
product=product*(Long.valueOf(str.charAt(i)));
}
return product;
}
}
答案 0 :(得分:0)
这应该可行,无需担心零。 Java long(64位)足以容纳13位十进制数字。
public class Product1000 {
static String numbers =
"73167176531330624919225119674426574742355349194934"+
"96983520312774506326239578318016984801869478851843"+
"85861560789112949495459501737958331952853208805511"+
"12540698747158523863050715693290963295227443043557"+
"66896648950445244523161731856403098711121722383113"+
"62229893423380308135336276614282806444486645238749"+
"30358907296290491560440772390713810515859307960866"+
"70172427121883998797908792274921901699720888093776"+
"65727333001053367881220235421809751254540594752243"+
"52584907711670556013604839586446706324415722155397"+
"53697817977846174064955149290862569321978468622482"+
"83972241375657056057490261407972968652414535100474"+
"82166370484403199890008895243450658541227588666881"+
"16427171479924442928230863465674813919123162824586"+
"17866458359124566529476545682848912883142607690042"+
"24219022671055626321111109370544217506941658960408"+
"07198403850962455444362981230987879927244284909188"+
"84580156166097919133875499200524063689912560717606"+
"05886116467109405077541002256983155200055935729725"+
"71636269561882670428252483600823257530420752963450";
static int DIGITS=13;
static long calcProduct(int from) {
long x=1;
for (int i=0; i <DIGITS; ++i) {
x*=numbers.charAt(from+i)-'0';
}
return x;
}
public static void main(String[] args) {
int l=numbers.length()-DIGITS;
long best=0;
int besti=-1;
for (int i=0; i < l; ++i) {
long p=calcProduct(i);
if (best<p) {best=p;besti=i;}
}
System.out.printf("best=%d for digits %s\n", best, numbers.substring(besti, besti+DIGITS));
}
}