Data commit

Task/Smith-numbers/C/smith-numbers.c

@@ -0,0 +1,78 @@
+#include <stdlib.h>
+#include <stdio.h>
+#include <stdbool.h>
+
+int numPrimeFactors(unsigned x) {
+    unsigned p = 2;
+    int pf = 0;
+    if (x == 1)
+        return 1;
+    else {
+        while (true) {
+            if (!(x % p)) {
+                pf++;
+                x /= p;
+                if (x == 1)
+                    return pf;
+            }
+            else
+                ++p;
+        }
+    }
+}
+
+void primeFactors(unsigned x, unsigned* arr) {
+    unsigned p = 2;
+    int pf = 0;
+    if (x == 1)
+        arr[pf] = 1;
+    else {
+        while (true) {
+            if (!(x % p)) {
+                arr[pf++] = p;
+                x /= p;
+                if (x == 1)
+                    return;
+            }
+            else
+                p++;
+        }
+    }
+}
+
+unsigned sumDigits(unsigned x) {
+    unsigned sum = 0, y;
+    while (x) {
+        y = x % 10;
+        sum += y;
+        x /= 10;
+    }
+    return sum;
+}
+
+unsigned sumFactors(unsigned* arr, int size) {
+    unsigned sum = 0;
+    for (int a = 0; a < size; a++)
+        sum += sumDigits(arr[a]);
+    return sum;
+}
+
+void listAllSmithNumbers(unsigned x) {
+    unsigned *arr;
+    for (unsigned a = 4; a < x; a++) {
+        int numfactors = numPrimeFactors(a);
+        arr = (unsigned*)malloc(numfactors * sizeof(unsigned));
+        if (numfactors < 2)
+            continue;	
+        primeFactors(a, arr);	
+        if (sumDigits(a) == sumFactors(arr,numfactors))
+            printf("%4u ",a);
+        free(arr);
+    }
+}
+
+int main(int argc, char* argv[]) {
+    printf("All the Smith Numbers < 10000 are:\n");
+    listAllSmithNumbers(10000);
+    return 0;
+}