Finding numbers with unique digits in C - c

Question

I have to write a program that finds every number (except 0) which can be factored by numbers from 2-9.
For example first such a number would be number 2520 as it can be divided by every single number from 2 to 9.
It also has to be a number that contains only 1 type of digit of its own (no multiple digits in a number). So for example 2520 will not meet this requirement since there are two same digits (2). The example of a number that meets both requirements is number 7560. That is the point I don't how to do it. I was thinking about converting value in an array to string, and then putting this string in another array so every digit would be represented by one array entry.
#include <stdio.h>
#include <math.h>
int main() {
int i, n, x, flag, y = 0;
scanf("%d", &n);
double z = pow(10, n) - 1;
int array[(int)z];
for (i = 0; i <= z; i++) {
flag = 0;
array[i] = i;
if (i > 0) {
for (x = 2; x <= 9; x++) {
if (array[i] % x != 0) {
flag = 1;
}
}
if (flag == 0) {
y = 1;
printf("%d\n", array[i]);
}
}
}
if (y == 0) {
printf("not exist");
}
return 0;
}

Answer 1

This should give you a base:
#include <stdio.h>
#include <string.h>
int main()
{
char snumber[20];
int number = 11235;
printf("Number = %d\n\n", number);
sprintf(snumber, "%d", number);
int histogram[10] = { 0 };
int len = strlen(snumber);
for (int i = 0; i < len; i++)
{
histogram[snumber[i] - '0']++;
}
for (int i = 0; i < 10; i++)
{
if (histogram[i] != 0)
printf("%d occurs %d times\n", i, histogram[i]);
}
}
Output:
Number = 11235
1 occurs 2 times
2 occurs 1 times
3 occurs 1 times
5 occurs 1 times

Answer 2

That code is a mess. Let's bin it.
Theorem: Any number that divides all numbers in the range 2 to 9 is a
multiple of 2520.
Therefore your algorithm takes the form
for (long i = 2520; i <= 9876543210 /*Beyond this there must be a duplicate*/; i += 2520){
// ToDo - reject if `i` contains one or more of the same digit.
}
For the ToDo part, see How to write a code to detect duplicate digits of any given number in C++?. Granted, it's C++, but the accepted answer ports verbatim.

Answer 3

If i understand correctly, your problem is that you need to identify whether a number is consisted of multiple digits.
Following your proposed approach, to convert the number into a string and use an array to represent digits, i can suggest the following solution for a function that implements it. The main function is used to test the has_repeated_digits function. It just shows a way to do it.
You can alter it and use it in your code.
#include <stdio.h>
#define MAX_DIGITS_IN_NUM 20
//returns 1 when there are repeated digits, 0 otherwise
int has_repeated_digits(int num){
// in array, array[0] represents how many times the '0' is found
// array[1], how many times '1' is found etc...
int array[10] = {0,0,0,0,0,0,0,0,0,0};
char num_string[MAX_DIGITS_IN_NUM];
//converts the number to string and stores it in num_string
sprintf(num_string, "%d", num);
int i = 0;
while (num_string[i] != '\0'){
//if a digit is found more than one time, return 1.
if (++array[num_string[i] - '0'] >= 2){
return 1; //found repeated digit
}
i++;
}
return 0; //no repeated digits found
}
// test tha function
int main()
{
int x=0;
while (scanf("%d", &x) != EOF){
if (has_repeated_digits(x))
printf("repeated digits found!\n");
else
printf("no repeated digits\n");
}
return 0;
}

Answer 4

You can simplify your problem from these remarks:
the least common multiple of 2, 3, 4, 5, 6, 7, 8 and 9 is 2520.
numbers larger than 9876543210 must have at least twice the same digit in their base 10 representation.
checking for duplicate digits can be done by counting the remainders of successive divisions by 10.
A simple approach is therefore to enumerate multiples of 2520 up to 9876543210 and select the numbers that have no duplicate digits.
Type unsigned long long is guaranteed to be large enough to represent all values to enumerate, but neither int nor long are.
Here is the code:
#include <stdio.h>
int main(void) {
unsigned long long i, n;
for (n = 2520; n <= 9876543210; n += 2520) {
int digits[10] = { 0 };
for (i = n; i != 0; i /= 10) {
if (digits[i % 10]++)
break;
}
if (i == 0)
printf("%llu\n", n);
}
return 0;
}
This program produces 13818 numbers in 0.076 seconds. The first one is 7560 and the last one is 9876351240.
The number 0 technically does match your constraints: it is evenly divisible by all non zero integers and it has no duplicate digits. But you excluded it explicitly.