http://acm.hdu.edu.cn/showproblem.php?pid=6753
卧槽这题我当时想到打表了，然而没想到可以直接用因数去筛以为只能根号找，就以为打表过不了，艹
很显然，d[i]=max{x | i%x==0 && x<=sqrt(i)}
然后我们可以打4000的表，每一段len=2.5*1e6，存储一个f[i*len]
然后就可以枚举1-1e5(因为x<=sqrt(1e10))，去筛出每一个ans[i%len] ，就可以算出f[k]了
k直接从后往前，由于每一段是p[i]-1个数，那么k之前就删掉了(k-1)/(p[i]-1)个数
注意特判p[i]=1和k>n,附带打表程序，打表部分没优化成写题部分，跑了40分钟。。。，写题时用原来的打表程序tle，优化了一蛤
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxl=3e6;
ll n,m,k;
ll ans[maxl];
ll a[4010]={0,876804130,2440016214,4442079417,6796397198,9453130930,12378842634,15549296532,18945735140,22552739022,26357880142,30350730168,34522226311,38864607459,43370855773,48034776321,52851120150,57814443465,62920511520,68165149214,73544388411,79054965293,84693371965,90456649846,96341923548,102346535197,108468027108,114704234668,121052855892,127511593606,134078801811,140752321808,147530525814,154411744586,161394260847,168476578661,175657204263,182934792640,190307738982,197775233093,205335432313,212987436143,220730091928,228562218234,236482887875,244490722539,252585143640,260764708197,269028813401,277376484263,285806547990,294319155581,302911969948,311585238476,320337932327,329168985300,338078331500,347064764428,356126904009,365265590324,374479046967,383767002273,393128824758,402563818412,412071584539,421651506953,431302347429,441024444161,450816601984,460678690941,470610026196,480609848660,490678737353,500815440928,511018360017,521289666715,531625700947,542028677770,552496944462,563030721969,573628695452,584290986937,595016835778,605806315332,616658641813,627573971154,638551420511,649590660993,660691411002,671853622408,683076586115,694360275402,705703430496,717106465197,728568905143,740090542643,751670564166,763310089530,775007198483,786762224279,798574278348,810444262447,822371026466,834355038820,846394348784,858490221400,870641670534,882849175510,895111614399,907429636763,919801850943,932228589736,944710197581,957245179198,969833674792,982475815043,995171442778,1007920247051,1020721673854,1033575641618,1046482546386,1059440947430,1072451347160,1085513716355,1098626670235,1111791648947,1125007684770,1138274847892,1151592351950,1164959970417,1178377325244,1191845542658,1205364329160,1218931450424,1232548769010,1246214663025,1259930039782,1273694145259,1287507041670,1301367805412,1315278320731,1329236570686,1343242009955,1357296335082,1371397266292,1385544806264,1399742785845,1413985386995,1428274984002,1442612504610,1456995953877,1471425993694,1485902479271,1500425470855,1514993929086,1529608724341,1544268241810,1558974383447,1573724510326,1588521591214,1603363478451,1618249813110,1633180917093,1648156060033,1663177384585,1678241487891,1693351769871,1708503868218,1723701210594,1738942224337,1754226925177,1769556199899,1784926986685,1800341949645,1815800543184,1831301805083,1846844524088,1862431744904,1878061202914,1893734143475,1909448245630,1925205213101,1941004323573,1956845371848,1972728597399,1988652991498,2004619670350,2020628497467,2036677876168,2052769255670,2068901074546,2085074729051,2101289452488,2117545023222,2133841913925,2150179214819,2166556599345,2182974837757,2199433426565,2215933037851,2232472078128,2249051700005,2265670568563,2282330082338,2299028449683,2315768286239,2332545837903,2349364361806,2366220533546,2383117189487,2400052639835,2417026566595,2434041430520,2451093351293,2468185735811,2485315489530,2502483780275,2519692083550,2536938063993,2554222837313,2571543769701,2588905113233,2606303759984,2623740725448,2641214906745,2658727869793,2676278303373,2693865423493,2711490722646,2729153826068,2746855381447,2764592200566,2782366735665,2800179479162,2818026973282,2835912604748,2853836131190,2871795248490,2889792181778,2907825611071,2925894773985,2944001518171,2962143825603,2980322957193,2998538513178,3016788598828,3035077354773,3053401010685,3071759396635,3090156429047,3108588025071,3127053939344,3145556760087,3164094893644,3182669383711,3201278139049,3219923471842,3238603995200,3257318640430,3276068532233,3294853960153,3313673854078,3332528979445,3351420889227,3370346958208,3389306611697,3408299987804,3427328913557,3446393284277,3465492757760,3484624418681,3503790427229,3522991998088,3542228957257,3561498853956,3580802026110,3600140410802,3619510902878,3638917946453,3658357485367,3677830917026,3697337943992,3716878238853,3736453294653,3756060875184,3775702579178,3795377667572,3815085843842,3834826768518,3854600794704,3874409461081,3894251869691,3914126533570,3934032980644,3953973021920,3973945196474,3993950661701,4013990798996,4034062194343,4054165498375,4074302326282,4094471729513,4114673898015,4134905945247,4155174564639,4175472967780,4195803398817,4216166416730,4236560627958,4256988567922,4277446493296,4297940428590,4318463222022,4339018647996,4359605464281,4380224375287,4400874945988,4421557539310,4442271247462,4463017896327,4483793775611,4504603278144,4525442642295,4546313566263,4567216525246,4588151014830,4609115723858,4630113208800,4651141280618,4672199727286,4693288200272,4714410823823,4735561819902,4756744949968,4777957337736,4799201867059,4820478017811,4841781995722,4863118275710,4884485186696,4905882578598,4927313151578,4948769815155,4970258885924,4991778623762,5013327890953,5034907841843,5056517682344,5078160172538,5099828745862,5121528763566,5143260962145,5165020652052,5186813039098,5208631591295,5230484181652,5252363452646,5274274912065,5296214583778,5318184307510,5340184104759,5362212774081,5384272158324,5406359371624,5428476805819,5450623821908,5472799914701,54950063537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ll sum[maxl],p[maxl];
int main()
{
int t;ll ln,rn,l,r,d=2e6+5e5,tot,up=1e5;bool flag;
scanf("%d",&t);
while(t--)
{
scanf("%lld%lld%lld",&n,&m,&k);
for(ll i=1;i<=m;i++)
scanf("%lld",&p[i]);
flag=false;
for(ll i=m;i>=1;i--)
{
if(p[i]==1)
{
flag=true;
break;
}
k+=(k-1)/(p[i]-1);
}
if(flag || k>n)
{
puts("-1");
continue;
}
if(k%d==0)
printf("%lld\n",a[k/d]);
else
{
tot=a[k/d];
ln=k/d*d+1;rn=k;
for(ll j=1;j<=up;++j)
{
r=rn/j;
for(ll c=r*j;c>=ln;c-=j)
if(j*j<=c)
ans[c%d]=j;
else
break;
}
ll rr=k%d;
for(ll j=1;j<=rr;j++)
tot+=ans[j];
printf("%lld\n",tot);
}
}
/*freopen("biao.out","w",stdout);
ll n=1e10,d=2e6+5e5,up=1e5;
ll t=n/d,l,r,ln,rn;
for(ll i=1;i<=t;i++)
{
ln=(i-1)*d+1;rn=i*d;
for(int j=1;j<=up;j++)
{
l=ln/j+(ln%j!=0);
r=rn/j;
for(ll k=l;k<=r;k++)
if(j<=sqrt(k*j))
ans[k*j%d]=j;
}
sum[i]=sum[i-1];
for(int j=0;j<d;j++)
sum[i]+=ans[j];
printf("%lld,",sum[i]);
}
*/
return 0;
}