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  1. #include <stdio.h>
  2. #define mod 1000000007
  3. typedef unsigned long long ull;
  4. ull raiseto(ull b,ull c);
  5. ull pfa(ull a);
  6. ull  pf(ull rs);
  7. ull pf_rs[10000001],pf_a[10000001];
  8. int main(){
  9. 	ull t,a,b,c,i,rs,ct_rs,j,k,ans,ct_a;
  10. 	scanf("%llu",&t);
  11. 	while(t--)
  12. 	{
  13. 	    scanf("%llu %llu %llu",&a,&b,&c);
  14. 	    rs=raiseto(b,c);
  15. 	ct_rs=pf(rs);
  16. 	ct_a=pfa(a);
  17. 	/*for(i=0;i<ct_a;i++)
  18. 	printf("%llu ",pf_a[i]);
  19. 	printf("\n");
  20. 	for(i=0;i<ct_rs;i++)
  21. 	printf("%llu ",pf_rs[i]);*/
  22. 	j=0,k=0,ans=1;
  23. 	if(ct_a<=ct_rs)
  24. 	{
  25. 	for(j=0;j<ct_a && k<ct_rs;j++)
  26. 	{
  27. 	 if(pf_a[j]>pf_rs[k])
  28. 	 {
  29.  
  30. 	     ans=(ans*pf_rs[k])%mod;
  31. 	        k++;
  32. 	        j--;
  33. 	 }
  34. 	     else if(pf_a[j]==pf_rs[k])
  35. 	     {
  36. 	         k++;
  37. 	     }
  38. 	}
  39. 	}
  40. 	else
  41. 	{
  42. 	    for(k=0;k<ct_rs && j<ct_a;k++)
  43. 	    {
  44. 	        if(pf_rs[k]>pf_a[j])
  45. 	        {
  46. 	        j++;
  47. 	        k--;
  48. 	        }
  49. 	        else if(pf_rs[k]==pf_a[j])
  50. 	         j++;
  51. 	     else
  52. 	         ans=(ans*pf_rs[k])%mod;
  53. 	    }
  54. 	}
  55. 	while(k<ct_rs)
  56. 	{
  57. 	    ans=((ans%mod)*(pf_rs[k]%mod))%mod;
  58. 	    k++;
  59. 	}
  60. 	printf("%llu\n",ans);
  61. 	}
  62.  
  63. 	return 0;
  64. }
  65.  
  66. ull raiseto(ull b,ull c)
  67. {
  68.     if(c==0)
  69.     return 1;
  70.     else if((c%2)==0)
  71.     return raiseto(((b%mod)*(b%mod))%mod,c/2);
  72.     else
  73.     return (b*raiseto(((b%mod)*(b%mod))%mod,(c-1)/2))%mod;
  74. }
  75. ull  pf(ull rs)
  76. {
  77.     long count=0,i;
  78.  
  79.     while((rs%2)==0)
  80.     {
  81.         pf_rs[count++]=2;
  82.  
  83.         rs=rs/2;
  84.     }
  85.     for(i=3;i*i<=rs;i+=2)
  86.     {
  87.         while((rs%i)==0)
  88.         {
  89.             pf_rs[count++]=i;
  90.  
  91.             rs=rs/i;
  92.         }
  93.     }
  94.     if(rs>1)
  95.     pf_rs[count++]=rs;
  96.     return count;
  97. }
  98. ull  pfa(ull a)
  99. {
  100.     long count=0,i;
  101.  
  102.     while((a%2)==0)
  103.     {
  104.         pf_a[count++]=2;
  105.  
  106.         a=a/2;
  107.     }
  108.     for(i=3;i*i<=a;i+=2)
  109.     {
  110.         while((a%i)==0)
  111.         {
  112.             pf_a[count++]=i;
  113.  
  114.             a=a/i;
  115.         }
  116.     }
  117.     if(a>1)
  118.     pf_a[count++]=a;
  119.     return count;
  120. }
Runtime error #stdin #stdout 0.17s 4340KB
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https://ideone.com/QojEiR
language:
C (gcc 8.3)
created:
6 years ago
visibility:
public

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